10201002024400 has 60 divisors (see below), whose sum is σ = 26735898953664. Its totient is φ = 3709455280000.

The previous prime is 10201002024383. The next prime is 10201002024439. The reversal of 10201002024400 is 442020010201.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1159200376 + ... + 1159209175.

Almost surely, 2^{10201002024400} is an apocalyptic number.

10201002024400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10201002024400 is an abundant number, since it is smaller than the sum of its proper divisors (16534896929264).

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

10201002024400 is a wasteful number, since it uses less digits than its factorization.

10201002024400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2318409580 (or 2318409569 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 10201002024400 its reverse (442020010201), we get a palindrome (10643022034601).

The spelling of 10201002024400 in words is "ten trillion, two hundred one billion, two million, twenty-four thousand, four hundred".