101110221020100 has 72 divisors (see below), whose sum is σ = 298769946749568. Its totient is φ = 26389050588800.

The previous prime is 101110221020063. The next prime is 101110221020113. The reversal of 101110221020100 is 1020122011101.

It is a super-3 number, since 3×101110221020100³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 3585454731 + ... + 3585482930.

It is an arithmetic number, because the mean of its divisors is an integer number (4149582593744).

Almost surely, 2^{101110221020100} is an apocalyptic number.

101110221020100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101110221020100 is an abundant number, since it is smaller than the sum of its proper divisors (197659725729468).

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

101110221020100 is a wasteful number, since it uses less digits than its factorization.

101110221020100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7170937725 (or 7170937718 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 101110221020100 its reverse (1020122011101), we get a palindrome (102130343031201).

The spelling of 101110221020100 in words is "one hundred one trillion, one hundred ten billion, two hundred twenty-one million, twenty thousand, one hundred".