2100111120031 has 16 divisors (see below), whose sum is σ = 2182481996800. Its totient is φ = 2018687132160.

The previous prime is 2100111120001. The next prime is 2100111120053. The reversal of 2100111120031 is 1300211110012.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 2100111120031 - 2¹¹ = 2100111117983 is a prime.

It is a super-2 number, since 2×2100111120031² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2100111119993 and 2100111120020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2100111120001) 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, 3574120 + ... + 4120018.

It is an arithmetic number, because the mean of its divisors is an integer number (136405124800).

Almost surely, 2^{2100111120031} is an apocalyptic number.

2100111120031 is a deficient number, since it is larger than the sum of its proper divisors (82370876769).

2100111120031 is a wasteful number, since it uses less digits than its factorization.

2100111120031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 546766.

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 2100111120031 its reverse (1300211110012), we get a palindrome (3400322230043).

The spelling of 2100111120031 in words is "two trillion, one hundred billion, one hundred eleven million, one hundred twenty thousand, thirty-one".