10010210202000 has 200 divisors, whose sum is σ = 36157621331832. Its totient is φ = 2669389344000.

The previous prime is 10010210201977. The next prime is 10010210202043. The reversal of 10010210202000 is 20201201001.

It can be written as a sum of positive squares in 4 ways, for example, as 161961173136 + 9848249028864 = 402444^2 + 3138192^2 .

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-3 number, since 3×10010210202000³ (a number of 40 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 30733711 + ... + 31057710.

Almost surely, 2^{10010210202000} is an apocalyptic number.

10010210202000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10010210202000 is an abundant number, since it is smaller than the sum of its proper divisors (26147411129832).

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

10010210202000 is an equidigital number, since it uses as much as digits as its factorization.

10010210202000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61791456 (or 61791431 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10010210202000 its reverse (20201201001), we get a palindrome (10030411403001).

Subtracting from 10010210202000 its reverse (20201201001), we obtain a palindrome (9990009000999).

The spelling of 10010210202000 in words is "ten trillion, ten billion, two hundred ten million, two hundred two thousand".