101122020100000 has 144 divisors (see below), whose sum is σ = 250424045569656. Its totient is φ = 40191166080000.

The previous prime is 101122020099979. The next prime is 101122020100019. The reversal of 101122020100000 is 1020221101.

It can be written as a sum of positive squares in 12 ways, for example, as 47801238856336 + 53320781243664 = 6913844^2 + 7302108^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a self number, because there is not a number n which added to its sum of digits gives 101122020100000.

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 23 ways as a sum of consecutive naturals, for example, 12479554 + ... + 18920446.

Almost surely, 2^{101122020100000} is an apocalyptic number.

101122020100000 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 101122020100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125212022784828).

101122020100000 is an abundant number, since it is smaller than the sum of its proper divisors (149302025469656).

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

101122020100000 is an frugal number, since it uses more digits than its factorization.

101122020100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6441085 (or 6441057 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 101122020100000 its reverse (1020221101), we get a palindrome (101123040321101).

The spelling of 101122020100000 in words is "one hundred one trillion, one hundred twenty-two billion, twenty million, one hundred thousand".