101322110100211 has 48 divisors (see below), whose sum is σ = 136806667303680. Its totient is φ = 72869282328960.

The previous prime is 101322110100157. The next prime is 101322110100217. The reversal of 101322110100211 is 112001011223101.

It is a happy number.

It is not a de Polignac number, because 101322110100211 - 2⁷ = 101322110100083 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101322110100217) 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 47 ways as a sum of consecutive naturals, for example, 97379305 + ... + 98414293.

It is an arithmetic number, because the mean of its divisors is an integer number (2850138902160).

Almost surely, 2^{101322110100211} is an apocalyptic number.

101322110100211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101322110100211 is a deficient number, since it is larger than the sum of its proper divisors (35484557203469).

101322110100211 is a wasteful number, since it uses less digits than its factorization.

101322110100211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1042556 (or 1042543 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 16.

Adding to 101322110100211 its reverse (112001011223101), we get a palindrome (213323121323312).

The spelling of 101322110100211 in words is "one hundred one trillion, three hundred twenty-two billion, one hundred ten million, one hundred thousand, two hundred eleven".