102142130122032 has 160 divisors (see below), whose sum is σ = 354283192757760. Its totient is φ = 24489621596160.

The previous prime is 102142130122027. The next prime is 102142130122057. The reversal of 102142130122032 is 230221031241201.

It is a super-2 number, since 2×102142130122032² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 102142130121993 and 102142130122011.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1062869557 + ... + 1062965652.

It is an arithmetic number, because the mean of its divisors is an integer number (2214269954736).

Almost surely, 2^{102142130122032} is an apocalyptic number.

102142130122032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102142130122032 is an abundant number, since it is smaller than the sum of its proper divisors (252141062635728).

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

102142130122032 is a wasteful number, since it uses less digits than its factorization.

102142130122032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2125835251 (or 2125835245 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 102142130122032 its reverse (230221031241201), we get a palindrome (332363161363233).

The spelling of 102142130122032 in words is "one hundred two trillion, one hundred forty-two billion, one hundred thirty million, one hundred twenty-two thousand, thirty-two".