102201021011200 has 108 divisors (see below), whose sum is σ = 252992646948160. Its totient is φ = 40875697428480.

The previous prime is 102201021011197. The next prime is 102201021011261. The reversal of 102201021011200 is 2110120102201.

It is a super-3 number, since 3×102201021011200³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 54885847 + ... + 56717353.

Almost surely, 2^{102201021011200} is an apocalyptic number.

102201021011200 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 102201021011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126496323474080).

102201021011200 is an abundant number, since it is smaller than the sum of its proper divisors (150791625936960).

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

102201021011200 is an equidigital number, since it uses as much as digits as its factorization.

102201021011200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1840252 (or 1840233 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 102201021011200 its reverse (2110120102201), we get a palindrome (104311141113401).

The spelling of 102201021011200 in words is "one hundred two trillion, two hundred one billion, twenty-one million, eleven thousand, two hundred".