201022120110100 has 72 divisors (see below), whose sum is σ = 455187448013760. Its totient is φ = 76912228673280.

The previous prime is 201022120110047. The next prime is 201022120110101. The reversal of 201022120110100 is 1011021220102.

It is a super-2 number, since 2×201022120110100² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201022120110101) 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, 418771824 + ... + 419251576.

It is an arithmetic number, because the mean of its divisors is an integer number (6322047889080).

Almost surely, 2^{201022120110100} is an apocalyptic number.

201022120110100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201022120110100 is an abundant number, since it is smaller than the sum of its proper divisors (254165327903660).

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

201022120110100 is a wasteful number, since it uses less digits than its factorization.

201022120110100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 661969 (or 661962 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 201022120110100 its reverse (1011021220102), we get a palindrome (202033141330202).

The spelling of 201022120110100 in words is "two hundred one trillion, twenty-two billion, one hundred twenty million, one hundred ten thousand, one hundred".