10111002121101 has 96 divisors (see below), whose sum is σ = 16545092272128. Its totient is φ = 5378828636160.

The previous prime is 10111002121097. The next prime is 10111002121123. The reversal of 10111002121101 is 10112120011101.

It is not a de Polignac number, because 10111002121101 - 2² = 10111002121097 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10111002121141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 344941236 + ... + 344970546.

It is an arithmetic number, because the mean of its divisors is an integer number (172344711168).

Almost surely, 2^{10111002121101} is an apocalyptic number.

It is an amenable number.

10111002121101 is a deficient number, since it is larger than the sum of its proper divisors (6434090151027).

10111002121101 is a wasteful number, since it uses less digits than its factorization.

10111002121101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29971 (or 29954 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 10111002121101 its reverse (10112120011101), we get a palindrome (20223122132202).

The spelling of 10111002121101 in words is "ten trillion, one hundred eleven billion, two million, one hundred twenty-one thousand, one hundred one".