10202001020100 has 216 divisors, whose sum is σ = 33901283456768. Its totient is φ = 2561618131200.

The previous prime is 10202001020083. The next prime is 10202001020129. The reversal of 10202001020100 is 102010020201.

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 71 ways as a sum of consecutive naturals, for example, 3909094 + ... + 5973693.

Almost surely, 2^{10202001020100} is an apocalyptic number.

10202001020100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10202001020100 is an abundant number, since it is smaller than the sum of its proper divisors (23699282436668).

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

10202001020100 is a wasteful number, since it uses less digits than its factorization.

10202001020100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9882875 (or 9882865 counting only the distinct ones).

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

Adding to 10202001020100 its reverse (102010020201), we get a palindrome (10304011040301).

The spelling of 10202001020100 in words is "ten trillion, two hundred two billion, one million, twenty thousand, one hundred".