101113122222100 has 18 divisors (see below), whose sum is σ = 219415475222174. Its totient is φ = 40445248888800.

The previous prime is 101113122222067. The next prime is 101113122222113. The reversal of 101113122222100 is 1222221311101.

It can be written as a sum of positive squares in 3 ways, for example, as 6857683963524 + 94255438258576 = 2618718^2 + 9708524^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 505565611011 + ... + 505565611210.

Almost surely, 2^{101113122222100} is an apocalyptic number.

101113122222100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101113122222100 is an abundant number, since it is smaller than the sum of its proper divisors (118302353000074).

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

101113122222100 is a wasteful number, since it uses less digits than its factorization.

101113122222100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1011131222235 (or 1011131222228 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 19.

Adding to 101113122222100 its reverse (1222221311101), we get a palindrome (102335343533201).

The spelling of 101113122222100 in words is "one hundred one trillion, one hundred thirteen billion, one hundred twenty-two million, two hundred twenty-two thousand, one hundred".