100012200021221 has 16 divisors (see below), whose sum is σ = 101666167950336. Its totient is φ = 98365969282176.

The previous prime is 100012200021191. The next prime is 100012200021263. The reversal of 100012200021221 is 122120002210001.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100012200021221 is a prime.

It is a super-4 number, since 4×100012200021221⁴ (a number of 57 digits) contains 4444 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100012200021196 and 100012200021205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100012200020221) 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, 232402376 + ... + 232832318.

It is an arithmetic number, because the mean of its divisors is an integer number (6354135496896).

Almost surely, 2^{100012200021221} is an apocalyptic number.

It is an amenable number.

100012200021221 is a deficient number, since it is larger than the sum of its proper divisors (1653967929115).

100012200021221 is an equidigital number, since it uses as much as digits as its factorization.

100012200021221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438932.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 100012200021221 its reverse (122120002210001), we get a palindrome (222132202231222).

The spelling of 100012200021221 in words is "one hundred trillion, twelve billion, two hundred million, twenty-one thousand, two hundred twenty-one".