101012212121200 has 30 divisors (see below), whose sum is σ = 242681839622144. Its totient is φ = 40404884848320.

The previous prime is 101012212121189. The next prime is 101012212121207. The reversal of 101012212121200 is 2121212210101.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101012212121207) 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, 126265264752 + ... + 126265265551.

Almost surely, 2^{101012212121200} is an apocalyptic number.

101012212121200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101012212121200 is an abundant number, since it is smaller than the sum of its proper divisors (141669627500944).

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

101012212121200 is a wasteful number, since it uses less digits than its factorization.

101012212121200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252530530321 (or 252530530310 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 101012212121200 its reverse (2121212210101), we get a palindrome (103133424331301).

It can be divided in two parts, 101012 and 212121200, that added together give a palindrome (212222212).

The spelling of 101012212121200 in words is "one hundred one trillion, twelve billion, two hundred twelve million, one hundred twenty-one thousand, two hundred".