10010012010021 has 96 divisors (see below), whose sum is σ = 14777849829600. Its totient is φ = 6528495697920.

The previous prime is 10010012010007. The next prime is 10010012010071. The reversal of 10010012010021 is 12001021001001.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 3560372741025 + 6449639268996 = 1886895^2 + 2539614^2 .

It is not a de Polignac number, because 10010012010021 - 2¹¹ = 10010012007973 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 = 10010012009985 and 10010012010012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10010012010071) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25732678495 + ... + 25732678883.

It is an arithmetic number, because the mean of its divisors is an integer number (153935935725).

Almost surely, 2^{10010012010021} is an apocalyptic number.

It is an amenable number.

10010012010021 is a deficient number, since it is larger than the sum of its proper divisors (4767837819579).

10010012010021 is a wasteful number, since it uses less digits than its factorization.

10010012010021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1399 (or 1396 counting only the distinct ones).

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

Adding to 10010012010021 its reverse (12001021001001), we get a palindrome (22011033011022).

The spelling of 10010012010021 in words is "ten trillion, ten billion, twelve million, ten thousand, twenty-one".