101113212220020 has 1152 divisors, whose sum is σ = 445196813967360. Its totient is φ = 17876981698560.

The previous prime is 101113212219883. The next prime is 101113212220043. The reversal of 101113212220020 is 20022212311101.

101113212220020 is a `hidden beast` number, since 10 + 111 + 321 + 2 + 2 + 200 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 101113212219975 and 101113212220002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 126267409 + ... + 127065671.

It is an arithmetic number, because the mean of its divisors is an integer number (386455567680).

Almost surely, 2^{101113212220020} is an apocalyptic number.

101113212220020 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 101113212220020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222598406983680).

101113212220020 is an abundant number, since it is smaller than the sum of its proper divisors (344083601747340).

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

101113212220020 is a wasteful number, since it uses less digits than its factorization.

101113212220020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 798365 (or 798360 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 101113212220020 its reverse (20022212311101), we get a palindrome (121135424531121).

The spelling of 101113212220020 in words is "one hundred one trillion, one hundred thirteen billion, two hundred twelve million, two hundred twenty thousand, twenty".