102011011111121 has 16 divisors (see below), whose sum is σ = 116801792190720. Its totient is φ = 87274815671040.

The previous prime is 102011011111109. The next prime is 102011011111133. The reversal of 102011011111121 is 121111110110201.

It is an interprime number because it is at equal distance from previous prime (102011011111109) and next prime (102011011111133).

It is a cyclic number.

It is not a de Polignac number, because 102011011111121 - 2³⁴ = 101993831241937 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 102011011111096 and 102011011111105.

It is not an unprimeable number, because it can be changed into a prime (102011011111621) 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, 2833805 + ... + 14562021.

It is an arithmetic number, because the mean of its divisors is an integer number (7300112011920).

Almost surely, 2^{102011011111121} is an apocalyptic number.

It is an amenable number.

102011011111121 is a deficient number, since it is larger than the sum of its proper divisors (14790781079599).

102011011111121 is a wasteful number, since it uses less digits than its factorization.

102011011111121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11730544.

The product of its (nonzero) digits is 4, while the sum is 14.

Adding to 102011011111121 its reverse (121111110110201), we get a palindrome (223122121221322).

The spelling of 102011011111121 in words is "one hundred two trillion, eleven billion, eleven million, one hundred eleven thousand, one hundred twenty-one".