101120212100 has 72 divisors (see below), whose sum is σ = 223776302400. Its totient is φ = 39650934400.

The previous prime is 101120212091. The next prime is 101120212133. The reversal of 101120212100 is 1212021101.

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, 2094230 + ... + 2141970.

It is an arithmetic number, because the mean of its divisors is an integer number (3108004200).

Almost surely, 2^101120212100 is an apocalyptic number.

101120212100 is a gapful number since it is divisible by the number (10) 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 101120212100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111888151200).

101120212100 is an abundant number, since it is smaller than the sum of its proper divisors (122656090300).

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

101120212100 is a wasteful number, since it uses less digits than its factorization.

101120212100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48173 (or 48166 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 101120212100 its reverse (1212021101), we get a palindrome (102332233201).

The spelling of 101120212100 in words is "one hundred one billion, one hundred twenty million, two hundred twelve thousand, one hundred".