101122010222020 has 96 divisors (see below), whose sum is σ = 220755653556480. Its totient is φ = 38879295805440.

The previous prime is 101122010221993. The next prime is 101122010222059. The reversal of 101122010222020 is 20222010221101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 101122010221985 and 101122010222003.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54092239 + ... + 55930441.

It is an arithmetic number, because the mean of its divisors is an integer number (2299538057880).

Almost surely, 2^{101122010222020} is an apocalyptic number.

101122010222020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101122010222020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110377826778240).

101122010222020 is an abundant number, since it is smaller than the sum of its proper divisors (119633643334460).

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

101122010222020 is a wasteful number, since it uses less digits than its factorization.

101122010222020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1839245 (or 1839243 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 101122010222020 its reverse (20222010221101), we get a palindrome (121344020443121).

The spelling of 101122010222020 in words is "one hundred one trillion, one hundred twenty-two billion, ten million, two hundred twenty-two thousand, twenty".