100220212000121 has 16 divisors (see below), whose sum is σ = 102127719564480. Its totient is φ = 98319746004480.

The previous prime is 100220212000109. The next prime is 100220212000123. The reversal of 100220212000121 is 121000212022001.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100220212000121 is a prime.

It is a super-3 number, since 3×100220212000121³ (a number of 43 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100220212000096 and 100220212000105.

It is not an unprimeable number, because it can be changed into a prime (100220212000123) 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, 146856725 + ... + 147537581.

It is an arithmetic number, because the mean of its divisors is an integer number (6382982472780).

Almost surely, 2^{100220212000121} is an apocalyptic number.

It is an amenable number.

100220212000121 is a deficient number, since it is larger than the sum of its proper divisors (1907507564359).

100220212000121 is an equidigital number, since it uses as much as digits as its factorization.

100220212000121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 686024.

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

Adding to 100220212000121 its reverse (121000212022001), we get a palindrome (221220424022122).

The spelling of 100220212000121 in words is "one hundred trillion, two hundred twenty billion, two hundred twelve million, one hundred twenty-one", and thus it is an aban number.