100212102122101 has 4 divisors (see below), whose sum is σ = 101131479205900. Its totient is φ = 99292725038304.

The previous prime is 100212102122087. The next prime is 100212102122107. The reversal of 100212102122101 is 101221201212001.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 79535165226001 + 20676936896100 = 8918249^2 + 4547190^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100212102122101 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 (100212102122107) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 459688541736 + ... + 459688541953.

It is an arithmetic number, because the mean of its divisors is an integer number (25282869801475).

Almost surely, 2^{100212102122101} is an apocalyptic number.

It is an amenable number.

100212102122101 is a deficient number, since it is larger than the sum of its proper divisors (919377083799).

100212102122101 is an equidigital number, since it uses as much as digits as its factorization.

100212102122101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 919377083798.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 100212102122101 its reverse (101221201212001), we get a palindrome (201433303334102).

The spelling of 100212102122101 in words is "one hundred trillion, two hundred twelve billion, one hundred two million, one hundred twenty-two thousand, one hundred one".