101110201222100 has 72 divisors (see below), whose sum is σ = 255484493445888. Its totient is φ = 34012272528000.

The previous prime is 101110201222033. The next prime is 101110201222229. The reversal of 101110201222100 is 1222102011101.

It is a super-3 number, since 3×101110201222100³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1362634076 + ... + 1362708275.

It is an arithmetic number, because the mean of its divisors is an integer number (3548395742304).

Almost surely, 2^{101110201222100} is an apocalyptic number.

101110201222100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101110201222100 is an abundant number, since it is smaller than the sum of its proper divisors (154374292223788).

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

101110201222100 is a wasteful number, since it uses less digits than its factorization.

101110201222100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2725342425 (or 2725342418 counting only the distinct ones).

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

Adding to 101110201222100 its reverse (1222102011101), we get a palindrome (102332303233201).

The spelling of 101110201222100 in words is "one hundred one trillion, one hundred ten billion, two hundred one million, two hundred twenty-two thousand, one hundred".