101221112021220 has 48 divisors (see below), whose sum is σ = 314910126289920. Its totient is φ = 26992296538848.

The previous prime is 101221112021191. The next prime is 101221112021243. The reversal of 101221112021220 is 22120211122101.

101221112021220 is a `hidden beast` number, since 10 + 1 + 221 + 11 + 202 + 1 + 220 = 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 = 101221112021193 and 101221112021202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93723251332 + ... + 93723252411.

It is an arithmetic number, because the mean of its divisors is an integer number (6560627631040).

Almost surely, 2^{101221112021220} is an apocalyptic number.

101221112021220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101221112021220 is an abundant number, since it is smaller than the sum of its proper divisors (213689014268700).

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

101221112021220 is a wasteful number, since it uses less digits than its factorization.

101221112021220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187446503761 (or 187446503753 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 101221112021220 its reverse (22120211122101), we get a palindrome (123341323143321).

The spelling of 101221112021220 in words is "one hundred one trillion, two hundred twenty-one billion, one hundred twelve million, twenty-one thousand, two hundred twenty".