100212100211021 has 16 divisors (see below), whose sum is σ = 103953832938240. Its totient is φ = 96489462323520.

The previous prime is 100212100210987. The next prime is 100212100211029. The reversal of 100212100211021 is 120112001212001.

It is a cyclic number.

It is not a de Polignac number, because 100212100211021 - 2¹⁴ = 100212100194637 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100212100210987 and 100212100211005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100212100211029) 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, 332624111 + ... + 332925251.

It is an arithmetic number, because the mean of its divisors is an integer number (6497114558640).

Almost surely, 2^{100212100211021} is an apocalyptic number.

It is an amenable number.

100212100211021 is a deficient number, since it is larger than the sum of its proper divisors (3741732727219).

100212100211021 is a wasteful number, since it uses less digits than its factorization.

100212100211021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332804.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 100212100211021 its reverse (120112001212001), we get a palindrome (220324101423022).

The spelling of 100212100211021 in words is "one hundred trillion, two hundred twelve billion, one hundred million, two hundred eleven thousand, twenty-one".