1012102101 has 16 divisors (see below), whose sum is σ = 1518393600. Its totient is φ = 666192384.

The previous prime is 1012102099. The next prime is 1012102121. The reversal of 1012102101 is 1012012101.

It is a happy number.

It is not a de Polignac number, because 1012102101 - 2¹ = 1012102099 is a prime.

It is a super-3 number, since 3×1012102101³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012102121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 235116 + ... + 239381.

It is an arithmetic number, because the mean of its divisors is an integer number (94899600).

Almost surely, 2^1012102101 is an apocalyptic number.

It is an amenable number.

1012102101 is a deficient number, since it is larger than the sum of its proper divisors (506291499).

1012102101 is an equidigital number, since it uses as much as digits as its factorization.

1012102101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474585 (or 474579 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

The square root of 1012102101 is about 31813.5521594178. The cubic root of 1012102101 is about 1004.0178687766.

Adding to 1012102101 its reverse (1012012101), we get a palindrome (2024114202).

Subtracting from 1012102101 its reverse (1012012101), we obtain a square (90000 = 300²).

The spelling of 1012102101 in words is "one billion, twelve million, one hundred two thousand, one hundred one".