101121122100111 has 32 divisors (see below), whose sum is σ = 138549139362816. Its totient is φ = 65555626320000.

The previous prime is 101121122100043. The next prime is 101121122100127. The reversal of 101121122100111 is 111001221121101.

It is not a de Polignac number, because 101121122100111 - 2²² = 101121117905807 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101121122105111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2458493016 + ... + 2458534146.

It is an arithmetic number, because the mean of its divisors is an integer number (4329660605088).

Almost surely, 2^{101121122100111} is an apocalyptic number.

101121122100111 is a deficient number, since it is larger than the sum of its proper divisors (37428017262705).

101121122100111 is a wasteful number, since it uses less digits than its factorization.

101121122100111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52943.

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 101121122100111 its reverse (111001221121101), we get a palindrome (212122343221212).

The spelling of 101121122100111 in words is "one hundred one trillion, one hundred twenty-one billion, one hundred twenty-two million, one hundred thousand, one hundred eleven".