102114133120 has 32 divisors (see below), whose sum is σ = 244116601020. Its totient is φ = 40845652992.

The previous prime is 102114133103. The next prime is 102114133123. The reversal of 102114133120 is 21331411201.

It can be written as a sum of positive squares in 2 ways, for example, as 102006139456 + 107993664 = 319384^2 + 10392^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (102114133123) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 79776027 + ... + 79777306.

Almost surely, 2^102114133120 is an apocalyptic number.

102114133120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102114133120 is an abundant number, since it is smaller than the sum of its proper divisors (142002467900).

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

102114133120 is an equidigital number, since it uses as much as digits as its factorization.

102114133120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159553352 (or 159553340 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 102114133120 its reverse (21331411201), we get a palindrome (123445544321).

The spelling of 102114133120 in words is "one hundred two billion, one hundred fourteen million, one hundred thirty-three thousand, one hundred twenty".