101121121222020 has 72 divisors (see below), whose sum is σ = 309771038729880. Its totient is φ = 26698645862400.

The previous prime is 101121121221947. The next prime is 101121121222039. The reversal of 101121121222020 is 20222121121101.

101121121222020 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 211 + 212 + 220 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 58420829795904 + 42700291426116 = 7643352^2 + 6534546^2 .

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 = 101121121221984 and 101121121222002.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2781090765 + ... + 2781127124.

It is an arithmetic number, because the mean of its divisors is an integer number (4302375537915).

Almost surely, 2^{101121121222020} is an apocalyptic number.

101121121222020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101121121222020 is an abundant number, since it is smaller than the sum of its proper divisors (208649917507860).

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

101121121222020 is a wasteful number, since it uses less digits than its factorization.

101121121222020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5562218005 (or 5562218000 counting only the distinct ones).

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

Adding to 101121121222020 its reverse (20222121121101), we get a palindrome (121343242343121).

The spelling of 101121121222020 in words is "one hundred one trillion, one hundred twenty-one billion, one hundred twenty-one million, two hundred twenty-two thousand, twenty".