101202110110100 has 288 divisors, whose sum is σ = 239484672000000. Its totient is φ = 36979554931200.

The previous prime is 101202110110039. The next prime is 101202110110163. The reversal of 101202110110100 is 1011011202101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21132198506 + ... + 21132203294.

It is an arithmetic number, because the mean of its divisors is an integer number (831544000000).

Almost surely, 2^{101202110110100} is an apocalyptic number.

101202110110100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101202110110100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119742336000000).

101202110110100 is an abundant number, since it is smaller than the sum of its proper divisors (138282561889900).

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

101202110110100 is a wasteful number, since it uses less digits than its factorization.

101202110110100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6071 (or 6064 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 101202110110100 its reverse (1011011202101), we get a palindrome (102213121312201).

The spelling of 101202110110100 in words is "one hundred one trillion, two hundred two billion, one hundred ten million, one hundred ten thousand, one hundred".