102120142023132 has 96 divisors (see below), whose sum is σ = 240156997355520. Its totient is φ = 33772811604480.

The previous prime is 102120142023079. The next prime is 102120142023139. The reversal of 102120142023132 is 231320241021201.

It is a super-3 number, since 3×102120142023132³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102120142023139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4147335373 + ... + 4147359995.

It is an arithmetic number, because the mean of its divisors is an integer number (2501635389120).

Almost surely, 2^{102120142023132} is an apocalyptic number.

102120142023132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102120142023132 is an abundant number, since it is smaller than the sum of its proper divisors (138036855332388).

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

102120142023132 is a wasteful number, since it uses less digits than its factorization.

102120142023132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28883 (or 28881 counting only the distinct ones).

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

Adding to 102120142023132 its reverse (231320241021201), we get a palindrome (333440383044333).

The spelling of 102120142023132 in words is "one hundred two trillion, one hundred twenty billion, one hundred forty-two million, twenty-three thousand, one hundred thirty-two".