100121102211120 has 80 divisors (see below), whose sum is σ = 317593449837312. Its totient is φ = 26078054526720.

The previous prime is 100121102211047. The next prime is 100121102211127. The reversal of 100121102211120 is 21112201121001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

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 100121102211120.

It is not an unprimeable number, because it can be changed into a prime (100121102211127) 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, 4850818276 + ... + 4850838915.

Almost surely, 2^{100121102211120} is an apocalyptic number.

100121102211120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100121102211120 is an abundant number, since it is smaller than the sum of its proper divisors (217472347626192).

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

100121102211120 is a wasteful number, since it uses less digits than its factorization.

100121102211120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9701657250 (or 9701657244 counting only the distinct ones).

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

Adding to 100121102211120 its reverse (21112201121001), we get a palindrome (121233303332121).

The spelling of 100121102211120 in words is "one hundred trillion, one hundred twenty-one billion, one hundred two million, two hundred eleven thousand, one hundred twenty".