101122221102111 has 192 divisors, whose sum is σ = 181105379020800. Its totient is φ = 53574427468800.

The previous prime is 101122221102053. The next prime is 101122221102113. The reversal of 101122221102111 is 111201122221101.

It is a happy number.

101122221102111 is a `hidden beast` number, since 10 + 11 + 222 + 211 + 0 + 211 + 1 = 666.

It is not a de Polignac number, because 101122221102111 - 2²⁵ = 101122187547679 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101122221102113) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 406271280 + ... + 406520106.

It is an arithmetic number, because the mean of its divisors is an integer number (943257182400).

Almost surely, 2^{101122221102111} is an apocalyptic number.

101122221102111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101122221102111 is a deficient number, since it is larger than the sum of its proper divisors (79983157918689).

101122221102111 is a wasteful number, since it uses less digits than its factorization.

101122221102111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249130 (or 249127 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 101122221102111 its reverse (111201122221101), we get a palindrome (212323343323212).

The spelling of 101122221102111 in words is "one hundred one trillion, one hundred twenty-two billion, two hundred twenty-one million, one hundred two thousand, one hundred eleven".