101641120800 has 72 divisors (see below), whose sum is σ = 330841856016. Its totient is φ = 27104298240.

The previous prime is 101641120771. The next prime is 101641120817. The reversal of 101641120800 is 8021146101.

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

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, 21172834 + ... + 21177633.

It is an arithmetic number, because the mean of its divisors is an integer number (4595025778).

Almost surely, 2^101641120800 is an apocalyptic number.

101641120800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101641120800 is an abundant number, since it is smaller than the sum of its proper divisors (229200735216).

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

101641120800 is a wasteful number, since it uses less digits than its factorization.

101641120800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42350490 (or 42350477 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 24.

Adding to 101641120800 its reverse (8021146101), we get a palindrome (109662266901).

The spelling of 101641120800 in words is "one hundred one billion, six hundred forty-one million, one hundred twenty thousand, eight hundred".