101800216921620 has 384 divisors, whose sum is σ = 336930435072000. Its totient is φ = 22952661548544.

The previous prime is 101800216921591. The next prime is 101800216921657. The reversal of 101800216921620 is 26129612008101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1776992617 + ... + 1777049903.

It is an arithmetic number, because the mean of its divisors is an integer number (877423008000).

Almost surely, 2^{101800216921620} is an apocalyptic number.

101800216921620 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 101800216921620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168465217536000).

101800216921620 is an abundant number, since it is smaller than the sum of its proper divisors (235130218150380).

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

101800216921620 is a wasteful number, since it uses less digits than its factorization.

101800216921620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58492 (or 58476 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 39.

Adding to 101800216921620 its reverse (26129612008101), we get a palindrome (127929828929721).

The spelling of 101800216921620 in words is "one hundred one trillion, eight hundred billion, two hundred sixteen million, nine hundred twenty-one thousand, six hundred twenty".