101110212200100 has 72 divisors (see below), whose sum is σ = 292546714263328. Its totient is φ = 26962615699200.

The previous prime is 101110212200093. The next prime is 101110212200113. The reversal of 101110212200100 is 1002212011101.

It is a super-2 number, since 2×101110212200100² (a number of 29 digits) contains 22 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, 99495555 + ... + 100506645.

Almost surely, 2^{101110212200100} is an apocalyptic number.

101110212200100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101110212200100 is an abundant number, since it is smaller than the sum of its proper divisors (191436502063228).

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

101110212200100 is a wasteful number, since it uses less digits than its factorization.

101110212200100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1344445 (or 1344438 counting only the distinct ones).

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

Adding to 101110212200100 its reverse (1002212011101), we get a palindrome (102112424211201).

The spelling of 101110212200100 in words is "one hundred one trillion, one hundred ten billion, two hundred twelve million, two hundred thousand, one hundred".