100120002112221 has 192 divisors, whose sum is σ = 177420843048960. Its totient is φ = 49690045278720.

The previous prime is 100120002112217. The next prime is 100120002112223. The reversal of 100120002112221 is 122211200021001.

It is not a de Polignac number, because 100120002112221 - 2² = 100120002112217 is a prime.

It is a super-2 number, since 2×100120002112221² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 100120002112221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100120002112223) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3197991250 + ... + 3198022556.

It is an arithmetic number, because the mean of its divisors is an integer number (924066890880).

Almost surely, 2^{100120002112221} is an apocalyptic number.

It is an amenable number.

100120002112221 is a deficient number, since it is larger than the sum of its proper divisors (77300840936739).

100120002112221 is a wasteful number, since it uses less digits than its factorization.

100120002112221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32864 (or 32857 counting only the distinct ones).

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

Adding to 100120002112221 its reverse (122211200021001), we get a palindrome (222331202133222).

The spelling of 100120002112221 in words is "one hundred trillion, one hundred twenty billion, two million, one hundred twelve thousand, two hundred twenty-one".