101112210100021 has 8 divisors (see below), whose sum is σ = 107499117548160. Its totient is φ = 94891196351952.

The previous prime is 101112210100001. The next prime is 101112210100039. The reversal of 101112210100021 is 120001012211101.

It is a happy number.

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 101112210100021 - 2²⁹ = 101111673229109 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101112210099974 and 101112210100010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101112210100001) 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, 41473423761 + ... + 41473426198.

It is an arithmetic number, because the mean of its divisors is an integer number (13437389693520).

Almost surely, 2^{101112210100021} is an apocalyptic number.

It is an amenable number.

101112210100021 is a deficient number, since it is larger than the sum of its proper divisors (6386907448139).

101112210100021 is an equidigital number, since it uses as much as digits as its factorization.

101112210100021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82946850035.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 101112210100021 its reverse (120001012211101), we get a palindrome (221113222311122).

The spelling of 101112210100021 in words is "one hundred one trillion, one hundred twelve billion, two hundred ten million, one hundred thousand, twenty-one".