101122002212211 has 8 divisors (see below), whose sum is σ = 149810373647760. Its totient is φ = 67414668141456.

The previous prime is 101122002212149. The next prime is 101122002212237. The reversal of 101122002212211 is 112212200221101.

101122002212211 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 220 + 0 + 221 + 221 + 1 = 666.

It is not a de Polignac number, because 101122002212211 - 2¹⁴ = 101122002195827 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101122002212111) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1872629670570 + ... + 1872629670623.

It is an arithmetic number, because the mean of its divisors is an integer number (18726296705970).

Almost surely, 2^{101122002212211} is an apocalyptic number.

101122002212211 is a deficient number, since it is larger than the sum of its proper divisors (48688371435549).

101122002212211 is an equidigital number, since it uses as much as digits as its factorization.

101122002212211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3745259341202 (or 3745259341196 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 101122002212211 its reverse (112212200221101), we get a palindrome (213334202433312).

The spelling of 101122002212211 in words is "one hundred one trillion, one hundred twenty-two billion, two million, two hundred twelve thousand, two hundred eleven".