101110100021 has 6 divisors (see below), whose sum is σ = 117617871510. Its totient is φ = 86665799976.

The previous prime is 101110099967. The next prime is 101110100087. The reversal of 101110100021 is 120001011101.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 101108100625 + 1999396 = 317975^2 + 1414^2 .

It is a de Polignac number, because none of the positive numbers 2^k-101110100021 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101110099981 and 101110100008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101110100321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1031735666 + ... + 1031735763.

It is an arithmetic number, because the mean of its divisors is an integer number (19602978585).

Almost surely, 2^101110100021 is an apocalyptic number.

It is an amenable number.

101110100021 is a deficient number, since it is larger than the sum of its proper divisors (16507771489).

101110100021 is an equidigital number, since it uses as much as digits as its factorization.

101110100021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2063471443 (or 2063471436 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 101110100021 its reverse (120001011101), we get a palindrome (221111111122).

The spelling of 101110100021 in words is "one hundred one billion, one hundred ten million, one hundred thousand, twenty-one".