10102001011021 has 16 divisors (see below), whose sum is σ = 10628833737600. Its totient is φ = 9587109894208.

The previous prime is 10102001010991. The next prime is 10102001011027. The reversal of 10102001011021 is 12011010020101.

It is a de Polignac number, because none of the positive numbers 2^k-10102001011021 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10102001010989 and 10102001011007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10102001011027) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13102776 + ... + 13852318.

It is an arithmetic number, because the mean of its divisors is an integer number (664302108600).

Almost surely, 2^{10102001011021} is an apocalyptic number.

It is an amenable number.

10102001011021 is a deficient number, since it is larger than the sum of its proper divisors (526832726579).

10102001011021 is an equidigital number, since it uses as much as digits as its factorization.

10102001011021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 757508.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 10102001011021 its reverse (12011010020101), we get a palindrome (22113011031122).

The spelling of 10102001011021 in words is "ten trillion, one hundred two billion, one million, eleven thousand, twenty-one".