101201121120200 has 384 divisors, whose sum is σ = 256638716928000. Its totient is φ = 36971898163200.

The previous prime is 101201121120179. The next prime is 101201121120227. The reversal of 101201121120200 is 2021121102101.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 50524772399 + ... + 50524774401.

It is an arithmetic number, because the mean of its divisors is an integer number (668329992000).

Almost surely, 2^{101201121120200} is an apocalyptic number.

101201121120200 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 101201121120200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128319358464000).

101201121120200 is an abundant number, since it is smaller than the sum of its proper divisors (155437595807800).

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

101201121120200 is a wasteful number, since it uses less digits than its factorization.

101201121120200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3485 (or 3476 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 101201121120200 its reverse (2021121102101), we get a palindrome (103222242222301).

The spelling of 101201121120200 in words is "one hundred one trillion, two hundred one billion, one hundred twenty-one million, one hundred twenty thousand, two hundred".