102111001220112 has 160 divisors (see below), whose sum is σ = 280033895112192. Its totient is φ = 31951157102592.

The previous prime is 102111001220087. The next prime is 102111001220117. The reversal of 102111001220112 is 211022100111201.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 102111001220091 and 102111001220100.

It is not an unprimeable number, because it can be changed into a prime (102111001220117) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 572580463 + ... + 572758769.

Almost surely, 2^{102111001220112} is an apocalyptic number.

102111001220112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102111001220112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140016947556096).

102111001220112 is an abundant number, since it is smaller than the sum of its proper divisors (177922893892080).

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

102111001220112 is a wasteful number, since it uses less digits than its factorization.

102111001220112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180165 (or 180159 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 102111001220112 its reverse (211022100111201), we get a palindrome (313133101331313).

The spelling of 102111001220112 in words is "one hundred two trillion, one hundred eleven billion, one million, two hundred twenty thousand, one hundred twelve".