10012102102000 has 40 divisors (see below), whose sum is σ = 24209262887472. Its totient is φ = 4004840840000.

The previous prime is 10012102101983. The next prime is 10012102102021. The reversal of 10012102102000 is 20120121001.

10012102102000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-4 number, since 4×10012102102000⁴ (a number of 53 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2503023526 + ... + 2503027525.

Almost surely, 2^{10012102102000} is an apocalyptic number.

10012102102000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10012102102000 is an abundant number, since it is smaller than the sum of its proper divisors (14197160785472).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10012102102000 is an equidigital number, since it uses as much as digits as its factorization.

10012102102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5006051074 (or 5006051058 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10012102102000 its reverse (20120121001), we get a palindrome (10032222223001).

The spelling of 10012102102000 in words is "ten trillion, twelve billion, one hundred two million, one hundred two thousand".