102122120112 has 80 divisors (see below), whose sum is σ = 279420865920. Its totient is φ = 32028353536.

The previous prime is 102122120083. The next prime is 102122120131. The reversal of 102122120112 is 211021221201.

It is a junction number, because it is equal to n+sod(n) for n = 102122120091 and 102122120100.

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, 2870143 + ... + 2905505.

It is an arithmetic number, because the mean of its divisors is an integer number (3492760824).

Almost surely, 2^102122120112 is an apocalyptic number.

102122120112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102122120112 is an abundant number, since it is smaller than the sum of its proper divisors (177298745808).

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

102122120112 is a wasteful number, since it uses less digits than its factorization.

102122120112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38930 (or 38924 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 102122120112 its reverse (211021221201), we get a palindrome (313143341313).

The spelling of 102122120112 in words is "one hundred two billion, one hundred twenty-two million, one hundred twenty thousand, one hundred twelve".