100010210121 has 12 divisors (see below), whose sum is σ = 144476521540. Its totient is φ = 66665475360.

The previous prime is 100010210119. The next prime is 100010210137. The reversal of 100010210121 is 121012010001.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 59985806400 + 40024403721 = 244920^2 + 200061^2 .

It is not a de Polignac number, because 100010210121 - 2¹ = 100010210119 is a prime.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100010210921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 586810 + ... + 737811.

Almost surely, 2^100010210121 is an apocalyptic number.

It is an amenable number.

100010210121 is a deficient number, since it is larger than the sum of its proper divisors (44466311419).

100010210121 is a wasteful number, since it uses less digits than its factorization.

100010210121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1333016 (or 1333013 counting only the distinct ones).

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

Adding to 100010210121 its reverse (121012010001), we get a palindrome (221022220122).

The spelling of 100010210121 in words is "one hundred billion, ten million, two hundred ten thousand, one hundred twenty-one".