102525140424000 has 224 divisors, whose sum is σ = 386900587696896. Its totient is φ = 23434317772800.

The previous prime is 102525140423983. The next prime is 102525140424041. The reversal of 102525140424000 is 424041525201.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×102525140424000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 304966347 + ... + 305302346.

It is an arithmetic number, because the mean of its divisors is an integer number (1727234766504).

Almost surely, 2^{102525140424000} is an apocalyptic number.

102525140424000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102525140424000 is an abundant number, since it is smaller than the sum of its proper divisors (284375447272896).

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

102525140424000 is an equidigital number, since it uses as much as digits as its factorization.

102525140424000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 610268730 (or 610268710 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 30.

Adding to 102525140424000 its reverse (424041525201), we get a palindrome (102949181949201).

The spelling of 102525140424000 in words is "one hundred two trillion, five hundred twenty-five billion, one hundred forty million, four hundred twenty-four thousand".