101122100020 has 12 divisors (see below), whose sum is σ = 212356410084. Its totient is φ = 40448840000.

The previous prime is 101122099993. The next prime is 101122100063. The reversal of 101122100020 is 20001221101.

It can be written as a sum of positive squares in 2 ways, for example, as 37808469136 + 63313630884 = 194444^2 + 251622^2 .

It is a super-2 number, since 2×101122100020² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2528052481 + ... + 2528052520.

It is an arithmetic number, because the mean of its divisors is an integer number (17696367507).

Almost surely, 2^101122100020 is an apocalyptic number.

101122100020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101122100020 is an abundant number, since it is smaller than the sum of its proper divisors (111234310064).

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

101122100020 is a wasteful number, since it uses less digits than its factorization.

101122100020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5056105010 (or 5056105008 counting only the distinct ones).

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

Adding to 101122100020 its reverse (20001221101), we get a palindrome (121123321121).

The spelling of 101122100020 in words is "one hundred one billion, one hundred twenty-two million, one hundred thousand, twenty".