1010122101 has 6 divisors (see below), whose sum is σ = 1459065270. Its totient is φ = 673414728.

The previous prime is 1010122093. The next prime is 1010122117. The reversal of 1010122101 is 1012210101.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 796932900 + 213189201 = 28230^2 + 14601^2 .

It is not a de Polignac number, because 1010122101 - 2³ = 1010122093 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 112235789 = 1010122101 / (1 + 0 + 1 + 0 + 1 + 2 + 2 + 1 + 0 + 1).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010122121) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 56117886 + ... + 56117903.

It is an arithmetic number, because the mean of its divisors is an integer number (243177545).

Almost surely, 2^1010122101 is an apocalyptic number.

It is an amenable number.

1010122101 is a deficient number, since it is larger than the sum of its proper divisors (448943169).

1010122101 is a wasteful number, since it uses less digits than its factorization.

1010122101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112235795 (or 112235792 counting only the distinct ones).

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

The square root of 1010122101 is about 31782.4181112766. The cubic root of 1010122101 is about 1003.3627131519.

Adding to 1010122101 its reverse (1012210101), we get a palindrome (2022332202).

The spelling of 1010122101 in words is "one billion, ten million, one hundred twenty-two thousand, one hundred one".