101210222111200 has 144 divisors (see below), whose sum is σ = 252269222080176. Its totient is φ = 39642375987200.

The previous prime is 101210222111189. The next prime is 101210222111221. The reversal of 101210222111200 is 2111222012101.

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

It is a congruent number.

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, 758730 + ... + 14247670.

It is an arithmetic number, because the mean of its divisors is an integer number (1751869597779).

Almost surely, 2^{101210222111200} is an apocalyptic number.

101210222111200 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 101210222111200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126134611040088).

101210222111200 is an abundant number, since it is smaller than the sum of its proper divisors (151058999968976).

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

101210222111200 is a wasteful number, since it uses less digits than its factorization.

101210222111200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13489157 (or 13489144 counting only the distinct ones).

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

Adding to 101210222111200 its reverse (2111222012101), we get a palindrome (103321444123301).

Subtracting from 101210222111200 its reverse (2111222012101), we obtain a palindrome (99099000099099).

The spelling of 101210222111200 in words is "one hundred one trillion, two hundred ten billion, two hundred twenty-two million, one hundred eleven thousand, two hundred".