10102000020100 has 72 divisors (see below), whose sum is σ = 23344997965128. Its totient is φ = 3781122508800.

The previous prime is 10102000020089. The next prime is 10102000020107. The reversal of 10102000020100 is 102000020101.

It can be written as a sum of positive squares in 12 ways, for example, as 551279520324 + 9550720499776 = 742482^2 + 3090424^2 .

It is a super-2 number, since 2×10102000020100² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10102000020107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16880331 + ... + 17468530.

It is an arithmetic number, because the mean of its divisors is an integer number (324236082849).

Almost surely, 2^{10102000020100} is an apocalyptic number.

10102000020100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10102000020100 is an abundant number, since it is smaller than the sum of its proper divisors (13242997945028).

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

10102000020100 is a wasteful number, since it uses less digits than its factorization.

10102000020100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34349065 (or 34349058 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 10102000020100 its reverse (102000020101), we get a palindrome (10204000040201).

Subtracting from 10102000020100 its reverse (102000020101), we obtain a palindrome (9999999999999).

The spelling of 10102000020100 in words is "ten trillion, one hundred two billion, twenty thousand, one hundred".