101201022083808 has 72 divisors (see below), whose sum is σ = 298449310520088. Its totient is φ = 33733674025344.

The previous prime is 101201022083779. The next prime is 101201022083809. The reversal of 101201022083808 is 808380220102101.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101201022083809) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6507259591 + ... + 6507275142.

It is an arithmetic number, because the mean of its divisors is an integer number (4145129312779).

Almost surely, 2^{101201022083808} is an apocalyptic number.

101201022083808 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

101201022083808 is an abundant number, since it is smaller than the sum of its proper divisors (197248288436280).

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

101201022083808 is an equidigital number, since it uses as much as digits as its factorization.

101201022083808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13014534758 (or 13014534738 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

Adding to 101201022083808 its reverse (808380220102101), we get a palindrome (909581242185909).

The spelling of 101201022083808 in words is "one hundred one trillion, two hundred one billion, twenty-two million, eighty-three thousand, eight hundred eight".