102424214013000 has 128 divisors (see below), whose sum is σ = 348614779443840. Its totient is φ = 24830112480000.

The previous prime is 102424214012999. The next prime is 102424214013019. The reversal of 102424214013000 is 310412424201.

It is a super-3 number, since 3×102424214013000³ (a number of 43 digits) contains 333 as substring.

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

It is an unprimeable number.

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, 1551849031 + ... + 1551915030.

It is an arithmetic number, because the mean of its divisors is an integer number (2723552964405).

Almost surely, 2^{102424214013000} is an apocalyptic number.

102424214013000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102424214013000 is an abundant number, since it is smaller than the sum of its proper divisors (246190565430840).

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

102424214013000 is a wasteful number, since it uses less digits than its factorization.

102424214013000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3103764096 (or 3103764082 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 102424214013000 its reverse (310412424201), we get a palindrome (102734626437201).

The spelling of 102424214013000 in words is "one hundred two trillion, four hundred twenty-four billion, two hundred fourteen million, thirteen thousand".