100212122101021 has 16 divisors (see below), whose sum is σ = 116332548710400. Its totient is φ = 84546783966960.

The previous prime is 100212122101001. The next prime is 100212122101031. The reversal of 100212122101021 is 120101221212001.

It is not a de Polignac number, because 100212122101021 - 2⁹ = 100212122100509 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100212122100986 and 100212122101004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100212122101001) 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, 165788971 + ... + 166392328.

It is an arithmetic number, because the mean of its divisors is an integer number (7270784294400).

Almost surely, 2^{100212122101021} is an apocalyptic number.

It is an amenable number.

100212122101021 is a deficient number, since it is larger than the sum of its proper divisors (16120426609379).

100212122101021 is an equidigital number, since it uses as much as digits as its factorization.

100212122101021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332181984.

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

Adding to 100212122101021 its reverse (120101221212001), we get a palindrome (220313343313022).

The spelling of 100212122101021 in words is "one hundred trillion, two hundred twelve billion, one hundred twenty-two million, one hundred one thousand, twenty-one".