100121221211100 has 72 divisors (see below), whose sum is σ = 289686051822720. Its totient is φ = 26698809362880.

The previous prime is 100121221211093. The next prime is 100121221211107. The reversal of 100121221211100 is 1112122121001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (100121221211093) and next prime (100121221211107).

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 100121221211100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100121221211107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45932529 + ... + 48062871.

Almost surely, 2^{100121221211100} is an apocalyptic number.

100121221211100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100121221211100 is an abundant number, since it is smaller than the sum of its proper divisors (189564830611620).

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

100121221211100 is a wasteful number, since it uses less digits than its factorization.

100121221211100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2287019 (or 2287012 counting only the distinct ones).

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

Adding to 100121221211100 its reverse (1112122121001), we get a palindrome (101233343332101).

Subtracting from 100121221211100 its reverse (1112122121001), we obtain a palindrome (99009099090099).

The spelling of 100121221211100 in words is "one hundred trillion, one hundred twenty-one billion, two hundred twenty-one million, two hundred eleven thousand, one hundred".