100212222122101 has 8 divisors (see below), whose sum is σ = 100750137560064. Its totient is φ = 99674444644080.

The previous prime is 100212222122059. The next prime is 100212222122137. The reversal of 100212222122101 is 101221222212001.

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 100212222122101 - 2²⁷ = 100212087904373 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100212222122141) 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, 33033150 + ... + 35939023.

It is an arithmetic number, because the mean of its divisors is an integer number (12593767195008).

Almost surely, 2^{100212222122101} is an apocalyptic number.

It is an amenable number.

100212222122101 is a deficient number, since it is larger than the sum of its proper divisors (537915437963).

100212222122101 is an equidigital number, since it uses as much as digits as its factorization.

100212222122101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68979971.

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 100212222122101 its reverse (101221222212001), we get a palindrome (201433444334102).

The spelling of 100212222122101 in words is "one hundred trillion, two hundred twelve billion, two hundred twenty-two million, one hundred twenty-two thousand, one hundred one".