101223100100 has 36 divisors (see below), whose sum is σ = 225011554068. Its totient is φ = 39501696000.

The previous prime is 101223100093. The next prime is 101223100129. The reversal of 101223100100 is 1001322101.

It can be written as a sum of positive squares in 6 ways, for example, as 14484603904 + 86738496196 = 120352^2 + 294514^2 .

It is a super-2 number, since 2×101223100100² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12340181 + ... + 12348380.

Almost surely, 2^101223100100 is an apocalyptic number.

101223100100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101223100100 is an abundant number, since it is smaller than the sum of its proper divisors (123788453968).

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

101223100100 is a wasteful number, since it uses less digits than its factorization.

101223100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24688616 (or 24688609 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 101223100100 its reverse (1001322101), we get a palindrome (102224422201).

The spelling of 101223100100 in words is "one hundred one billion, two hundred twenty-three million, one hundred thousand, one hundred".