100110020122100 has 72 divisors (see below), whose sum is σ = 217855732512600. Its totient is φ = 39930386513920.

The previous prime is 100110020122097. The next prime is 100110020122109. The reversal of 100110020122100 is 1221020011001.

It can be written as a sum of positive squares in 12 ways, for example, as 45698330082916 + 54411690039184 = 6760054^2 + 7376428^2 .

It is a super-2 number, since 2×100110020122100² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100110020122109) 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, 72820292 + ... + 74182308.

It is an arithmetic number, because the mean of its divisors is an integer number (3025774062675).

Almost surely, 2^{100110020122100} is an apocalyptic number.

100110020122100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100110020122100 is an abundant number, since it is smaller than the sum of its proper divisors (117745712390500).

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

100110020122100 is a wasteful number, since it uses less digits than its factorization.

100110020122100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1364117 (or 1364110 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 100110020122100 its reverse (1221020011001), we get a palindrome (101331040133101).

The spelling of 100110020122100 in words is "one hundred trillion, one hundred ten billion, twenty million, one hundred twenty-two thousand, one hundred".