102220201121120 has 96 divisors (see below), whose sum is σ = 242674490963520. Its totient is φ = 40688751247360.

The previous prime is 102220201121083. The next prime is 102220201121131. The reversal of 102220201121120 is 21121102022201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37784900 + ... + 40399740.

It is an arithmetic number, because the mean of its divisors is an integer number (2527859280870).

Almost surely, 2^{102220201121120} is an apocalyptic number.

102220201121120 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 102220201121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121337245481760).

102220201121120 is an abundant number, since it is smaller than the sum of its proper divisors (140454289842400).

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

102220201121120 is a wasteful number, since it uses less digits than its factorization.

102220201121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2616048 (or 2616040 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 102220201121120 its reverse (21121102022201), we get a palindrome (123341303143321).

The spelling of 102220201121120 in words is "one hundred two trillion, two hundred twenty billion, two hundred one million, one hundred twenty-one thousand, one hundred twenty".