101122210102111 has 16 divisors (see below), whose sum is σ = 111420199677600. Its totient is φ = 91008607104000.

The previous prime is 101122210102093. The next prime is 101122210102127. The reversal of 101122210102111 is 111201012221101.

It is a cyclic number.

It is not a de Polignac number, because 101122210102111 - 2⁹ = 101122210101599 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101122210102171) 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, 4415875 + ... + 14891083.

It is an arithmetic number, because the mean of its divisors is an integer number (6963762479850).

Almost surely, 2^{101122210102111} is an apocalyptic number.

101122210102111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101122210102111 is a deficient number, since it is larger than the sum of its proper divisors (10297989575489).

101122210102111 is a wasteful number, since it uses less digits than its factorization.

101122210102111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10484010.

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

Adding to 101122210102111 its reverse (111201012221101), we get a palindrome (212323222323212).

The spelling of 101122210102111 in words is "one hundred one trillion, one hundred twenty-two billion, two hundred ten million, one hundred two thousand, one hundred eleven".