102002012201120 has 24 divisors (see below), whose sum is σ = 240979753825524. Its totient is φ = 40800804880384.

The previous prime is 102002012201101. The next prime is 102002012201137. The reversal of 102002012201120 is 21102210200201.

It can be written as a sum of positive squares in 2 ways, for example, as 87304879189264 + 14697133011856 = 9343708^2 + 3833684^2 .

It is a junction number, because it is equal to n+sod(n) for n = 102002012201095 and 102002012201104.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 318756287969 + ... + 318756288288.

Almost surely, 2^{102002012201120} is an apocalyptic number.

102002012201120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102002012201120 is an abundant number, since it is smaller than the sum of its proper divisors (138977741624404).

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

102002012201120 is an equidigital number, since it uses as much as digits as its factorization.

102002012201120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 637512576272 (or 637512576264 counting only the distinct ones).

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

Adding to 102002012201120 its reverse (21102210200201), we get a palindrome (123104222401321).

The spelling of 102002012201120 in words is "one hundred two trillion, two billion, twelve million, two hundred one thousand, one hundred twenty".