100121022102012 has 48 divisors (see below), whose sum is σ = 234106765821600. Its totient is φ = 33303542353920.

The previous prime is 100121022101977. The next prime is 100121022102053. The reversal of 100121022102012 is 210201220121001.

It is a junction number, because it is equal to n+sod(n) for n = 100121022101982 and 100121022102000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43597164 + ... + 45836172.

It is an arithmetic number, because the mean of its divisors is an integer number (4877224287950).

Almost surely, 2^{100121022102012} is an apocalyptic number.

100121022102012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100121022102012 is an abundant number, since it is smaller than the sum of its proper divisors (133985743719588).

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

100121022102012 is a wasteful number, since it uses less digits than its factorization.

100121022102012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2246846 (or 2246844 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 100121022102012 its reverse (210201220121001), we get a palindrome (310322242223013).

The spelling of 100121022102012 in words is "one hundred trillion, one hundred twenty-one billion, twenty-two million, one hundred two thousand, twelve".