102120202022200 has 96 divisors (see below), whose sum is σ = 238563875689200. Its totient is φ = 40653235082240.

The previous prime is 102120202022149. The next prime is 102120202022219. The reversal of 102120202022200 is 2220202021201.

It is a super-2 number, since 2×102120202022200² (a number of 29 digits) contains 22 as substring.

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, 49946412 + ... + 51950788.

Almost surely, 2^{102120202022200} is an apocalyptic number.

102120202022200 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 102120202022200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119281937844600).

102120202022200 is an abundant number, since it is smaller than the sum of its proper divisors (136443673667000).

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

102120202022200 is a wasteful number, since it uses less digits than its factorization.

102120202022200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2005609 (or 2005600 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 102120202022200 its reverse (2220202021201), we get a palindrome (104340404043401).

Subtracting from 102120202022200 its reverse (2220202021201), we obtain a palindrome (99900000000999).

The spelling of 102120202022200 in words is "one hundred two trillion, one hundred twenty billion, two hundred two million, twenty-two thousand, two hundred".