101122001100100 has 72 divisors (see below), whose sum is σ = 224436565640448. Its totient is φ = 39529362969600.

The previous prime is 101122001100077. The next prime is 101122001100101. The reversal of 101122001100100 is 1001100221101.

It is a super-2 number, since 2×101122001100100² (a number of 29 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (101122001100101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12821536 + ... + 19147735.

It is an arithmetic number, because the mean of its divisors is an integer number (3117174522784).

Almost surely, 2^{101122001100100} is an apocalyptic number.

101122001100100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101122001100100 is an abundant number, since it is smaller than the sum of its proper divisors (123314564540348).

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

101122001100100 is a wasteful number, since it uses less digits than its factorization.

101122001100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31970005 (or 31969998 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 101122001100100 its reverse (1001100221101), we get a palindrome (102123101321201).

It can be divided in two parts, 101122001 and 100100, that added together give a palindrome (101222101).

The spelling of 101122001100100 in words is "one hundred one trillion, one hundred twenty-two billion, one million, one hundred thousand, one hundred".