101100122210020 has 24 divisors (see below), whose sum is σ = 212370214501368. Its totient is φ = 40428628339200.

The previous prime is 101100122209987. The next prime is 101100122210023. The reversal of 101100122210020 is 20012221001101.

It can be written as a sum of positive squares in 4 ways, for example, as 2434679639716 + 98665442570304 = 1560346^2 + 9933048^2 .

It is not an unprimeable number, because it can be changed into a prime (101100122210023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 713711461 + ... + 713853100.

It is an arithmetic number, because the mean of its divisors is an integer number (8848758937557).

Almost surely, 2^{101100122210020} is an apocalyptic number.

101100122210020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101100122210020 is an abundant number, since it is smaller than the sum of its proper divisors (111270092291348).

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

101100122210020 is a wasteful number, since it uses less digits than its factorization.

101100122210020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1427568111 (or 1427568109 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 101100122210020 its reverse (20012221001101), we get a palindrome (121112343211121).

The spelling of 101100122210020 in words is "one hundred one trillion, one hundred billion, one hundred twenty-two million, two hundred ten thousand, twenty".