101110112022020 has 48 divisors (see below), whose sum is σ = 217522041525936. Its totient is φ = 39455428608000.

The previous prime is 101110112022019. The next prime is 101110112022047. The reversal of 101110112022020 is 20220211011101.

It can be written as a sum of positive squares in 8 ways, for example, as 3962910378436 + 97147201643584 = 1990706^2 + 9856328^2 .

It is a junction number, because it is equal to n+sod(n) for n = 101110112021986 and 101110112022004.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11517380 + ... + 18299460.

It is an arithmetic number, because the mean of its divisors is an integer number (4531709198457).

Almost surely, 2^{101110112022020} is an apocalyptic number.

101110112022020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101110112022020 is an abundant number, since it is smaller than the sum of its proper divisors (116411929503916).

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

101110112022020 is a wasteful number, since it uses less digits than its factorization.

101110112022020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6800312 (or 6800310 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 101110112022020 its reverse (20220211011101), we get a palindrome (121330323033121).

The spelling of 101110112022020 in words is "one hundred one trillion, one hundred ten billion, one hundred twelve million, twenty-two thousand, twenty".