100211222100101 has 4 divisors (see below), whose sum is σ = 114527110971552. Its totient is φ = 85895333228652.

The previous prime is 100211222100091. The next prime is 100211222100131. The reversal of 100211222100101 is 101001222112001.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 100211222100101 - 2⁶ = 100211222100037 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 (100211222100131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7157944435715 + ... + 7157944435728.

It is an arithmetic number, because the mean of its divisors is an integer number (28631777742888).

Almost surely, 2^{100211222100101} is an apocalyptic number.

It is an amenable number.

100211222100101 is a deficient number, since it is larger than the sum of its proper divisors (14315888871451).

100211222100101 is an equidigital number, since it uses as much as digits as its factorization.

100211222100101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14315888871450.

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

Adding to 100211222100101 its reverse (101001222112001), we get a palindrome (201212444212102).

The spelling of 100211222100101 in words is "one hundred trillion, two hundred eleven billion, two hundred twenty-two million, one hundred thousand, one hundred one".