101111122022020 has 36 divisors (see below), whose sum is σ = 233391209763852. Its totient is φ = 36767680734400.

The previous prime is 101111122022017. The next prime is 101111122022041. The reversal of 101111122022020 is 20220221111101.

It can be written as a sum of positive squares in 2 ways, for example, as 55806995686464 + 45304126335556 = 7470408^2 + 6730834^2 .

It is a junction number, because it is equal to n+sod(n) for n = 101111122021985 and 101111122022003.

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 11 ways as a sum of consecutive naturals, for example, 20890725271 + ... + 20890730110.

It is an arithmetic number, because the mean of its divisors is an integer number (6483089160107).

Almost surely, 2^{101111122022020} is an apocalyptic number.

101111122022020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101111122022020 is an abundant number, since it is smaller than the sum of its proper divisors (132280087741832).

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

101111122022020 is a wasteful number, since it uses less digits than its factorization.

101111122022020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41781455412 (or 41781455399 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 101111122022020 its reverse (20220221111101), we get a palindrome (121331343133121).

The spelling of 101111122022020 in words is "one hundred one trillion, one hundred eleven billion, one hundred twenty-two million, twenty-two thousand, twenty".