102127321128 has 64 divisors (see below), whose sum is σ = 293479090560. Its totient is φ = 29010560256.

The previous prime is 102127321099. The next prime is 102127321133. The reversal of 102127321128 is 821123721201.

It is a junction number, because it is equal to n+sod(n) for n = 102127321095 and 102127321104.

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, 1727875 + ... + 1786002.

It is an arithmetic number, because the mean of its divisors is an integer number (4585610790).

Almost surely, 2^102127321128 is an apocalyptic number.

It is an amenable number.

102127321128 is an abundant number, since it is smaller than the sum of its proper divisors (191351769432).

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

102127321128 is a wasteful number, since it uses less digits than its factorization.

102127321128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3514066 (or 3514062 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 30.

It can be divided in two parts, 1021273 and 21128, that added together give a palindrome (1042401).

The spelling of 102127321128 in words is "one hundred two billion, one hundred twenty-seven million, three hundred twenty-one thousand, one hundred twenty-eight".