101221121122020 has 36 divisors (see below), whose sum is σ = 307037400737340. Its totient is φ = 26992298965824.

The previous prime is 101221121122003. The next prime is 101221121122061. The reversal of 101221121122020 is 20221121122101.

101221121122020 is a `hidden beast` number, since 1 + 0 + 1 + 2 + 211 + 211 + 220 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 80746075317924 + 20475045804096 = 8985882^2 + 4524936^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×101221121122020² (a number of 29 digits) contains 22 as substring.

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 = 101221121121984 and 101221121122002.

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, 281169780715 + ... + 281169781074.

Almost surely, 2^{101221121122020} is an apocalyptic number.

101221121122020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101221121122020 is an abundant number, since it is smaller than the sum of its proper divisors (205816279615320).

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

101221121122020 is a wasteful number, since it uses less digits than its factorization.

101221121122020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562339561804 (or 562339561799 counting only the distinct ones).

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

Adding to 101221121122020 its reverse (20221121122101), we get a palindrome (121442242244121).

The spelling of 101221121122020 in words is "one hundred one trillion, two hundred twenty-one billion, one hundred twenty-one million, one hundred twenty-two thousand, twenty".