102202020101120 has 176 divisors, whose sum is σ = 262156742025408. Its totient is φ = 38095100313600.

The previous prime is 102202020101117. The next prime is 102202020101191. The reversal of 102202020101120 is 21101020202201.

It is a junction number, because it is equal to n+sod(n) for n = 102202020101095 and 102202020101104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2978189 + ... + 14603891.

Almost surely, 2^{102202020101120} is an apocalyptic number.

102202020101120 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 102202020101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131078371012704).

102202020101120 is an abundant number, since it is smaller than the sum of its proper divisors (159954721924288).

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

102202020101120 is a wasteful number, since it uses less digits than its factorization.

102202020101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11625846 (or 11625828 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 102202020101120 its reverse (21101020202201), we get a palindrome (123303040303321).

The spelling of 102202020101120 in words is "one hundred two trillion, two hundred two billion, twenty million, one hundred one thousand, one hundred twenty".