100112210210221 has 6 divisors (see below), whose sum is σ = 110040693867566. Its totient is φ = 91011100191000.

The previous prime is 100112210210189. The next prime is 100112210210251. The reversal of 100112210210221 is 122012012211001.

It can be written as a sum of positive squares in only one way, i.e., 97637915816100 + 2474294394121 = 9881190^2 + 1572989^2 .

It is not a de Polignac number, because 100112210210221 - 2⁵ = 100112210210189 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100112210210195 and 100112210210204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100112210210251) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 413686818930 + ... + 413686819171.

Almost surely, 2^{100112210210221} is an apocalyptic number.

100112210210221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100112210210221 is a deficient number, since it is larger than the sum of its proper divisors (9928483657345).

100112210210221 is an equidigital number, since it uses as much as digits as its factorization.

100112210210221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 827373638123 (or 827373638112 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 100112210210221 its reverse (122012012211001), we get a palindrome (222124222421222).

The spelling of 100112210210221 in words is "one hundred trillion, one hundred twelve billion, two hundred ten million, two hundred ten thousand, two hundred twenty-one".