2101101031 has 2 divisors, whose sum is σ = 2101101032. Its totient is φ = 2101101030.

The previous prime is 2101101029. The next prime is 2101101049. The reversal of 2101101031 is 1301011012.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 2101101031 - 2¹ = 2101101029 is a prime.

It is a super-2 number, since 2×2101101031² = 8829251084938525922, which contains 22 as substring.

Together with 2101101029, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 2101100999 and 2101101017.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2101101931) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1050550515 + 1050550516.

It is an arithmetic number, because the mean of its divisors is an integer number (1050550516).

Almost surely, 2^2101101031 is an apocalyptic number.

2101101031 is a deficient number, since it is larger than the sum of its proper divisors (1).

2101101031 is an equidigital number, since it uses as much as digits as its factorization.

2101101031 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6, while the sum is 10.

The square root of 2101101031 is about 45837.7686084303. The cubic root of 2101101031 is about 1280.8029286409.

Adding to 2101101031 its reverse (1301011012), we get a palindrome (3402112043).

The spelling of 2101101031 in words is "two billion, one hundred one million, one hundred one thousand, thirty-one".