102501421002400 has 288 divisors, whose sum is σ = 294100276377600. Its totient is φ = 34153548549120.

The previous prime is 102501421002391. The next prime is 102501421002457. The reversal of 102501421002400 is 4200124105201.

It is a super-2 number, since 2×102501421002400² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46849677 + ... + 48988723.

It is an arithmetic number, because the mean of its divisors is an integer number (1021181515200).

Almost surely, 2^{102501421002400} is an apocalyptic number.

102501421002400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102501421002400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147050138188800).

102501421002400 is an abundant number, since it is smaller than the sum of its proper divisors (191598855375200).

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

102501421002400 is a wasteful number, since it uses less digits than its factorization.

102501421002400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2139316 (or 2139303 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

Adding to 102501421002400 its reverse (4200124105201), we get a palindrome (106701545107601).

The spelling of 102501421002400 in words is "one hundred two trillion, five hundred one billion, four hundred twenty-one million, two thousand, four hundred".