102102211001120 has 48 divisors (see below), whose sum is σ = 263145243811968. Its totient is φ = 37128076727040.

The previous prime is 102102211001111. The next prime is 102102211001137. The reversal of 102102211001120 is 21100112201201.

It is a super-2 number, since 2×102102211001120² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102102211001095 and 102102211001104.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29006308184 + ... + 29006311703.

It is an arithmetic number, because the mean of its divisors is an integer number (5482192579416).

Almost surely, 2^{102102211001120} is an apocalyptic number.

102102211001120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102102211001120 is an abundant number, since it is smaller than the sum of its proper divisors (161043032810848).

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

102102211001120 is a wasteful number, since it uses less digits than its factorization.

102102211001120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58012619913 (or 58012619905 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 102102211001120 its reverse (21100112201201), we get a palindrome (123202323202321).

The spelling of 102102211001120 in words is "one hundred two trillion, one hundred two billion, two hundred eleven million, one thousand, one hundred twenty".