100121121012112 has 40 divisors (see below), whose sum is σ = 204800309823200. Its totient is φ = 47285064755712.

The previous prime is 100121121012071. The next prime is 100121121012119. The reversal of 100121121012112 is 211210121121001.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (100121121012119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 488541162 + ... + 488746057.

It is an arithmetic number, because the mean of its divisors is an integer number (5120007745580).

Almost surely, 2^{100121121012112} is an apocalyptic number.

It is an amenable number.

100121121012112 is an abundant number, since it is smaller than the sum of its proper divisors (104679188811088).

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

100121121012112 is a wasteful number, since it uses less digits than its factorization.

100121121012112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 977287583 (or 977287577 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 16.

Adding to 100121121012112 its reverse (211210121121001), we get a palindrome (311331242133113).

It can be divided in two parts, 1001 and 21121012112, that multiplied together give a palindrome (21142133124112).

The spelling of 100121121012112 in words is "one hundred trillion, one hundred twenty-one billion, one hundred twenty-one million, twelve thousand, one hundred twelve".