10201545144200 has 24 divisors (see below), whose sum is σ = 23718592460730. Its totient is φ = 4080618057600.

The previous prime is 10201545144169. The next prime is 10201545144211. The reversal of 10201545144200 is 244154510201.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 6882888672676 + 3318656471524 = 2623526^2 + 1821718^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 25503862661 + ... + 25503863060.

Almost surely, 2^{10201545144200} is an apocalyptic number.

10201545144200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10201545144200 is an abundant number, since it is smaller than the sum of its proper divisors (13517047316530).

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

10201545144200 is a wasteful number, since it uses less digits than its factorization.

10201545144200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51007725737 (or 51007725728 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 29.

Adding to 10201545144200 its reverse (244154510201), we get a palindrome (10445699654401).

The spelling of 10201545144200 in words is "ten trillion, two hundred one billion, five hundred forty-five million, one hundred forty-four thousand, two hundred".