10111121122101 has 16 divisors (see below), whose sum is σ = 13579159002624. Its totient is φ = 6692006521584.

The previous prime is 10111121122049. The next prime is 10111121122129. The reversal of 10111121122101 is 10122112111101.

It is not a de Polignac number, because 10111121122101 - 2¹¹ = 10111121120053 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10111121122171) 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, 10955121 + ... + 11842166.

It is an arithmetic number, because the mean of its divisors is an integer number (848697437664).

Almost surely, 2^{10111121122101} is an apocalyptic number.

It is an amenable number.

10111121122101 is a deficient number, since it is larger than the sum of its proper divisors (3468037880523).

10111121122101 is a wasteful number, since it uses less digits than its factorization.

10111121122101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22798360.

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

Adding to 10111121122101 its reverse (10122112111101), we get a palindrome (20233233233202).

The spelling of 10111121122101 in words is "ten trillion, one hundred eleven billion, one hundred twenty-one million, one hundred twenty-two thousand, one hundred one".