102112211120 has 80 divisors (see below), whose sum is σ = 239561854560. Its totient is φ = 40476413952.

The previous prime is 102112211029. The next prime is 102112211143. The reversal of 102112211120 is 21112211201.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 102112211095 and 102112211104.

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, 4183592 + ... + 4207928.

It is an arithmetic number, because the mean of its divisors is an integer number (2994523182).

Almost surely, 2^102112211120 is an apocalyptic number.

102112211120 is a gapful number since it is divisible by the number (10) 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 102112211120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119780927280).

102112211120 is an abundant number, since it is smaller than the sum of its proper divisors (137449643440).

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

102112211120 is a wasteful number, since it uses less digits than its factorization.

102112211120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24822 (or 24816 counting only the distinct ones).

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

Adding to 102112211120 its reverse (21112211201), we get a palindrome (123224422321).

The spelling of 102112211120 in words is "one hundred two billion, one hundred twelve million, two hundred eleven thousand, one hundred twenty".