102125410000031 has 16 divisors (see below), whose sum is σ = 117297717987840. Its totient is φ = 87936508638720.

The previous prime is 102125410000013. The next prime is 102125410000073. The reversal of 102125410000031 is 130000014521201.

It is a cyclic number.

It is not a de Polignac number, because 102125410000031 - 2¹⁸ = 102125409737887 is a prime.

It is a super-2 number, since 2×102125410000031² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102125409999958 and 102125410000012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102125410000531) 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, 50081090 + ... + 52080383.

It is an arithmetic number, because the mean of its divisors is an integer number (7331107374240).

Almost surely, 2^{102125410000031} is an apocalyptic number.

102125410000031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

102125410000031 is a deficient number, since it is larger than the sum of its proper divisors (15172307987809).

102125410000031 is a wasteful number, since it uses less digits than its factorization.

102125410000031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102166286.

The product of its (nonzero) digits is 240, while the sum is 20.

Adding to 102125410000031 its reverse (130000014521201), we get a palindrome (232125424521232).

The spelling of 102125410000031 in words is "one hundred two trillion, one hundred twenty-five billion, four hundred ten million, thirty-one", and thus it is an aban number.