10000010021121 has 20 divisors (see below), whose sum is σ = 14938605511764. Its totient is φ = 6666531012000.

The previous prime is 10000010021117. The next prime is 10000010021137. The reversal of 10000010021121 is 12112001000001.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 5800563966096 + 4199446055025 = 2408436^2 + 2049255^2 .

It is not a de Polignac number, because 10000010021121 - 2² = 10000010021117 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (10000010021621) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2569711 + ... + 5157851.

Almost surely, 2^{10000010021121} is an apocalyptic number.

It is an amenable number.

10000010021121 is a deficient number, since it is larger than the sum of its proper divisors (4938595490643).

10000010021121 is an equidigital number, since it uses as much as digits as its factorization.

10000010021121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2635854 (or 2635845 counting only the distinct ones).

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

Adding to 10000010021121 its reverse (12112001000001), we get a palindrome (22112011021122).

The spelling of 10000010021121 in words is "ten trillion, ten million, twenty-one thousand, one hundred twenty-one".