101201122200 has 96 divisors (see below), whose sum is σ = 313864911360. Its totient is φ = 26974800000.

The previous prime is 101201122189. The next prime is 101201122273. The reversal of 101201122200 is 2221102101.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 1335325 + ... + 1409075.

It is an arithmetic number, because the mean of its divisors is an integer number (3269426160).

Almost surely, 2^101201122200 is an apocalyptic number.

101201122200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101201122200 is an abundant number, since it is smaller than the sum of its proper divisors (212663789160).

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

101201122200 is a wasteful number, since it uses less digits than its factorization.

101201122200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76057 (or 76048 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 101201122200 its reverse (2221102101), we get a palindrome (103422224301).

The spelling of 101201122200 in words is "one hundred one billion, two hundred one million, one hundred twenty-two thousand, two hundred".