10210100 has 18 divisors (see below), whose sum is σ = 22156134. Its totient is φ = 4084000.

The previous prime is 10210097. The next prime is 10210103. The reversal of 10210100 is 101201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10210097) and next prime (10210103).

It can be written as a sum of positive squares in 3 ways, for example, as 8464 + 10201636 = 92^2 + 3194^2 .

It is a super-2 number, since 2×10210100² = 208492284020000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (5).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10210103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 50951 + ... + 51150.

Almost surely, 2^10210100 is an apocalyptic number.

10210100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10210100 is an abundant number, since it is smaller than the sum of its proper divisors (11946034).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10210100 is a wasteful number, since it uses less digits than its factorization.

10210100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102115 (or 102108 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 5.

The square root of 10210100 is about 3195.3247096344. The cubic root of 10210100 is about 216.9418462812.

Adding to 10210100 its reverse (101201), we get a palindrome (10311301).

The spelling of 10210100 in words is "ten million, two hundred ten thousand, one hundred".