101200021012100 has 72 divisors (see below), whose sum is σ = 222675457728360. Its totient is φ = 39914164039680.

The previous prime is 101200021012093. The next prime is 101200021012127. The reversal of 101200021012100 is 1210120002101.

It can be written as a sum of positive squares in 12 ways, for example, as 79821752227204 + 21378268784896 = 8934302^2 + 4623664^2 .

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, 23797544 + ... + 27725856.

Almost surely, 2^{101200021012100} is an apocalyptic number.

101200021012100 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 101200021012100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111337728864180).

101200021012100 is an abundant number, since it is smaller than the sum of its proper divisors (121475436716260).

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

101200021012100 is a wasteful number, since it uses less digits than its factorization.

101200021012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3931929 (or 3931922 counting only the distinct ones).

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

Adding to 101200021012100 its reverse (1210120002101), we get a palindrome (102410141014201).

The spelling of 101200021012100 in words is "one hundred one trillion, two hundred billion, twenty-one million, twelve thousand, one hundred".