10121010000021 has 40 divisors (see below), whose sum is σ = 16100929355544. Its totient is φ = 6313729766400.

The previous prime is 10121009999923. The next prime is 10121010000061. The reversal of 10121010000021 is 12000001012101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2473655801796 + 7647354198225 = 1572786^2 + 2765385^2 .

It is a de Polignac number, because none of the positive numbers 2^k-10121010000021 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 10121009999958 and 10121010000012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10121010000061) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 21004680 + ... + 21481121.

Almost surely, 2^{10121010000021} is an apocalyptic number.

It is an amenable number.

10121010000021 is a deficient number, since it is larger than the sum of its proper divisors (5979919355523).

10121010000021 is a wasteful number, since it uses less digits than its factorization.

10121010000021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42486003 (or 42485994 counting only the distinct ones).

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

Adding to 10121010000021 its reverse (12000001012101), we get a palindrome (22121011012122).

The spelling of 10121010000021 in words is "ten trillion, one hundred twenty-one billion, ten million, twenty-one", and thus it is an aban number.