10011002111121 has 32 divisors (see below), whose sum is σ = 15064430238720. Its totient is φ = 5857725787200.

The previous prime is 10011002111111. The next prime is 10011002111147. The reversal of 10011002111121 is 12111120011001.

It is not a de Polignac number, because 10011002111121 - 2⁴² = 5612955600017 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10011002111097 and 10011002111106.

It is not an unprimeable number, because it can be changed into a prime (10011002111111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17140716 + ... + 17715138.

It is an arithmetic number, because the mean of its divisors is an integer number (470763444960).

Almost surely, 2^{10011002111121} is an apocalyptic number.

10011002111121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10011002111121 is a deficient number, since it is larger than the sum of its proper divisors (5053428127599).

10011002111121 is a wasteful number, since it uses less digits than its factorization.

10011002111121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 592677.

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

Adding to 10011002111121 its reverse (12111120011001), we get a palindrome (22122122122122).

The spelling of 10011002111121 in words is "ten trillion, eleven billion, two million, one hundred eleven thousand, one hundred twenty-one".