101012101101200 has 30 divisors (see below), whose sum is σ = 242681572896594. Its totient is φ = 40404840440320.

The previous prime is 101012101101199. The next prime is 101012101101209. The reversal of 101012101101200 is 2101101210101.

It can be written as a sum of positive squares in 3 ways, for example, as 29217748624 + 100982883352576 = 170932^2 + 10049024^2 .

It is not an unprimeable number, because it can be changed into a prime (101012101101209) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 126265125977 + ... + 126265126776.

Almost surely, 2^{101012101101200} is an apocalyptic number.

101012101101200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101012101101200 is an abundant number, since it is smaller than the sum of its proper divisors (141669471795394).

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

101012101101200 is a wasteful number, since it uses less digits than its factorization.

101012101101200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252530252771 (or 252530252760 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 101012101101200 its reverse (2101101210101), we get a palindrome (103113202311301).

The spelling of 101012101101200 in words is "one hundred one trillion, twelve billion, one hundred one million, one hundred one thousand, two hundred".