101202110212100 has 36 divisors (see below), whose sum is σ = 219609317049444. Its totient is φ = 40480708068480.

The previous prime is 101202110212087. The next prime is 101202110212117. The reversal of 101202110212100 is 1212011202101.

It can be written as a sum of positive squares in 6 ways, for example, as 5424883823044 + 95777226389056 = 2329138^2 + 9786584^2 .

It is a super-2 number, since 2×101202110212100² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31420274 + ... + 34491126.

It is an arithmetic number, because the mean of its divisors is an integer number (6100258806929).

Almost surely, 2^{101202110212100} is an apocalyptic number.

101202110212100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101202110212100 is an abundant number, since it is smaller than the sum of its proper divisors (118407206837344).

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

101202110212100 is a wasteful number, since it uses less digits than its factorization.

101202110212100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3400424 (or 3400417 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 101202110212100 its reverse (1212011202101), we get a palindrome (102414121414201).

Subtracting from 101202110212100 its reverse (1212011202101), we obtain a palindrome (99990099009999).

The spelling of 101202110212100 in words is "one hundred one trillion, two hundred two billion, one hundred ten million, two hundred twelve thousand, one hundred".