101111121122100 has 144 divisors (see below), whose sum is σ = 300462463963200. Its totient is φ = 26233575045120.

The previous prime is 101111121122071. The next prime is 101111121122119. The reversal of 101111121122100 is 1221121111101.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 101111121122100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 565222471 + ... + 565401329.

Almost surely, 2^{101111121122100} is an apocalyptic number.

101111121122100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101111121122100 is an abundant number, since it is smaller than the sum of its proper divisors (199351342841100).

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

101111121122100 is a wasteful number, since it uses less digits than its factorization.

101111121122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229842 (or 229835 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 101111121122100 its reverse (1221121111101), we get a palindrome (102332242233201).

The spelling of 101111121122100 in words is "one hundred one trillion, one hundred eleven billion, one hundred twenty-one million, one hundred twenty-two thousand, one hundred".