100121101101112 has 64 divisors (see below), whose sum is σ = 231300109555200. Its totient is φ = 39565248024960.

The previous prime is 100121101101071. The next prime is 100121101101113. The reversal of 100121101101112 is 211101101121001.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 100121101101092 and 100121101101101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100121101101113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74156314 + ... + 75494377.

It is an arithmetic number, because the mean of its divisors is an integer number (3614064211800).

Almost surely, 2^{100121101101112} is an apocalyptic number.

It is an amenable number.

100121101101112 is an abundant number, since it is smaller than the sum of its proper divisors (131179008454088).

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

100121101101112 is a wasteful number, since it uses less digits than its factorization.

100121101101112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149651636 (or 149651632 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 13.

Adding to 100121101101112 its reverse (211101101121001), we get a palindrome (311222202222113).

The spelling of 100121101101112 in words is "one hundred trillion, one hundred twenty-one billion, one hundred one million, one hundred one thousand, one hundred twelve".