101121002112011 has 16 divisors (see below), whose sum is σ = 125349420127680. Its totient is φ = 79586933406720.

The previous prime is 101121002111897. The next prime is 101121002112023. The reversal of 101121002112011 is 110211200121101.

It is a cyclic number.

It is not a de Polignac number, because 101121002112011 - 2³⁸ = 100846124205067 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101121002112061) 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, 10362877076 + ... + 10362886833.

It is an arithmetic number, because the mean of its divisors is an integer number (7834338757980).

Almost surely, 2^{101121002112011} is an apocalyptic number.

101121002112011 is a deficient number, since it is larger than the sum of its proper divisors (24228418015669).

101121002112011 is a wasteful number, since it uses less digits than its factorization.

101121002112011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20725763974.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 101121002112011 its reverse (110211200121101), we get a palindrome (211332202233112).

The spelling of 101121002112011 in words is "one hundred one trillion, one hundred twenty-one billion, two million, one hundred twelve thousand, eleven".