102112101120 has 144 divisors (see below), whose sum is σ = 327422898432. Its totient is φ = 27121152000.

The previous prime is 102112101089. The next prime is 102112101121. The reversal of 102112101120 is 21101211201.

It is a super-2 number, since 2×102112101120² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 102112101096 and 102112101105.

It is not an unprimeable number, because it can be changed into a prime (102112101121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 910869 + ... + 1016811.

It is an arithmetic number, because the mean of its divisors is an integer number (2273770128).

Almost surely, 2^102112101120 is an apocalyptic number.

102112101120 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 102112101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163711449216).

102112101120 is an abundant number, since it is smaller than the sum of its proper divisors (225310797312).

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

102112101120 is a wasteful number, since it uses less digits than its factorization.

102112101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106218 (or 106204 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 102112101120 its reverse (21101211201), we get a palindrome (123213312321).

The spelling of 102112101120 in words is "one hundred two billion, one hundred twelve million, one hundred one thousand, one hundred twenty".