1011112101121 has 8 divisors (see below), whose sum is σ = 1044183874304. Its totient is φ = 978068781360.

The previous prime is 1011112101107. The next prime is 1011112101127. The reversal of 1011112101121 is 1211012111101.

1011112101121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1011112101121 - 2¹⁵ = 1011112068353 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1011112101127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7041111 + ... + 7183276.

It is an arithmetic number, because the mean of its divisors is an integer number (130522984288).

Almost surely, 2^{1011112101121} is an apocalyptic number.

It is an amenable number.

1011112101121 is a deficient number, since it is larger than the sum of its proper divisors (33071773183).

1011112101121 is a wasteful number, since it uses less digits than its factorization.

1011112101121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14226711.

The product of its (nonzero) digits is 4, while the sum is 13.

Adding to 1011112101121 its reverse (1211012111101), we get a palindrome (2222124212222).

The spelling of 1011112101121 in words is "one trillion, eleven billion, one hundred twelve million, one hundred one thousand, one hundred twenty-one".