101331312121200 has 240 divisors, whose sum is σ = 376505962830080. Its totient is φ = 22815749468160.

The previous prime is 101331312121129. The next prime is 101331312121229. The reversal of 101331312121200 is 2121213133101.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 89461465 + ... + 90587064.

Almost surely, 2^{101331312121200} is an apocalyptic number.

101331312121200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101331312121200 is an abundant number, since it is smaller than the sum of its proper divisors (275174650708880).

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

101331312121200 is a wasteful number, since it uses less digits than its factorization.

101331312121200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180048624 (or 180048613 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 101331312121200 its reverse (2121213133101), we get a palindrome (103452525254301).

The spelling of 101331312121200 in words is "one hundred one trillion, three hundred thirty-one billion, three hundred twelve million, one hundred twenty-one thousand, two hundred".