102122210012112 has 60 divisors (see below), whose sum is σ = 285816968105760. Its totient is φ = 34038757537344.

The previous prime is 102122210012101. The next prime is 102122210012117. The reversal of 102122210012112 is 211210012221201.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102122210012117) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18129562 + ... + 23085177.

It is an arithmetic number, because the mean of its divisors is an integer number (4763616135096).

Almost surely, 2^{102122210012112} is an apocalyptic number.

102122210012112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102122210012112 is an abundant number, since it is smaller than the sum of its proper divisors (183694758093648).

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

102122210012112 is a wasteful number, since it uses less digits than its factorization.

102122210012112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41231960 (or 41231951 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 102122210012112 its reverse (211210012221201), we get a palindrome (313332222233313).

The spelling of 102122210012112 in words is "one hundred two trillion, one hundred twenty-two billion, two hundred ten million, twelve thousand, one hundred twelve".