100121001221112 has 64 divisors (see below), whose sum is σ = 258285765129600. Its totient is φ = 32317781811840.

The previous prime is 100121001221089. The next prime is 100121001221117. The reversal of 100121001221112 is 211122100121001.

It is a happy number.

It is a super-2 number, since 2×100121001221112² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100121001221091 and 100121001221100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100121001221117) 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, 266990062 + ... + 267364797.

It is an arithmetic number, because the mean of its divisors is an integer number (4035715080150).

Almost surely, 2^{100121001221112} is an apocalyptic number.

100121001221112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100121001221112 is an abundant number, since it is smaller than the sum of its proper divisors (158164763908488).

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

100121001221112 is a wasteful number, since it uses less digits than its factorization.

100121001221112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534355116 (or 534355112 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 100121001221112 its reverse (211122100121001), we get a palindrome (311243101342113).

The spelling of 100121001221112 in words is "one hundred trillion, one hundred twenty-one billion, one million, two hundred twenty-one thousand, one hundred twelve".