201102120202100 has 288 divisors, whose sum is σ = 503266913856000. Its totient is φ = 69126996395520.

The previous prime is 201102120202057. The next prime is 201102120202103. The reversal of 201102120202100 is 1202021201102.

201102120202100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201102120202103) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4143079631 + ... + 4143128169.

It is an arithmetic number, because the mean of its divisors is an integer number (1747454562000).

Almost surely, 2^{201102120202100} is an apocalyptic number.

201102120202100 is a gapful number since it is divisible by the number (20) 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 201102120202100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251633456928000).

201102120202100 is an abundant number, since it is smaller than the sum of its proper divisors (302164793653900).

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

201102120202100 is a wasteful number, since it uses less digits than its factorization.

201102120202100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51487 (or 51480 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 201102120202100 its reverse (1202021201102), we get a palindrome (202304141403202).

The spelling of 201102120202100 in words is "two hundred one trillion, one hundred two billion, one hundred twenty million, two hundred two thousand, one hundred".