102202122121120 has 192 divisors, whose sum is σ = 278880783584256. Its totient is φ = 34668256296960.

The previous prime is 102202122121103. The next prime is 102202122121123. The reversal of 102202122121120 is 21121221202201.

It is not an unprimeable number, because it can be changed into a prime (102202122121123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 338914729 + ... + 339216151.

It is an arithmetic number, because the mean of its divisors is an integer number (1452504081168).

Almost surely, 2^{102202122121120} is an apocalyptic number.

102202122121120 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 102202122121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139440391792128).

102202122121120 is an abundant number, since it is smaller than the sum of its proper divisors (176678661463136).

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

102202122121120 is a wasteful number, since it uses less digits than its factorization.

102202122121120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304663 (or 304655 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 102202122121120 its reverse (21121221202201), we get a palindrome (123323343323321).

The spelling of 102202122121120 in words is "one hundred two trillion, two hundred two billion, one hundred twenty-two million, one hundred twenty-one thousand, one hundred twenty".