102012201120 has 48 divisors (see below), whose sum is σ = 321338435040. Its totient is φ = 27203253504.

The previous prime is 102012201119. The next prime is 102012201127. The reversal of 102012201120 is 21102210201.

It is a tau number, because it is divible by the number of its divisors (48).

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 = 102012201096 and 102012201105.

It is not an unprimeable number, because it can be changed into a prime (102012201127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 106262230 + ... + 106263189.

It is an arithmetic number, because the mean of its divisors is an integer number (6694550730).

Almost surely, 2^102012201120 is an apocalyptic number.

102012201120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102012201120 is an abundant number, since it is smaller than the sum of its proper divisors (219326233920).

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

102012201120 is a wasteful number, since it uses less digits than its factorization.

102012201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212525437 (or 212525429 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 102012201120 its reverse (21102210201), we get a palindrome (123114411321).

The spelling of 102012201120 in words is "one hundred two billion, twelve million, two hundred one thousand, one hundred twenty".