100220211112121 has 8 divisors (see below), whose sum is σ = 100354697586120. Its totient is φ = 100085730167808.

The previous prime is 100220211111971. The next prime is 100220211112127. The reversal of 100220211112121 is 121211112022001.

It can be written as a sum of positive squares in 4 ways, for example, as 275403494521 + 99944807617600 = 524789^2 + 9997240^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100220211112121 - 2¹⁴ = 100220211095737 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 100220211112121.

It is not an unprimeable number, because it can be changed into a prime (100220211112127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35551385 + ... + 38266713.

It is an arithmetic number, because the mean of its divisors is an integer number (12544337198265).

Almost surely, 2^{100220211112121} is an apocalyptic number.

It is an amenable number.

100220211112121 is a deficient number, since it is larger than the sum of its proper divisors (134486473999).

100220211112121 is an equidigital number, since it uses as much as digits as its factorization.

100220211112121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2764843.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 100220211112121 its reverse (121211112022001), we get a palindrome (221431323134122).

The spelling of 100220211112121 in words is "one hundred trillion, two hundred twenty billion, two hundred eleven million, one hundred twelve thousand, one hundred twenty-one".