101112212200221 has 72 divisors (see below), whose sum is σ = 154383109069280. Its totient is φ = 63593350013952.

The previous prime is 101112212200193. The next prime is 101112212200249. The reversal of 101112212200221 is 122002212211101.

101112212200221 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 1 + 221 + 220 + 0 + 221 = 666.

It is an interprime number because it is at equal distance from previous prime (101112212200193) and next prime (101112212200249).

It is not a de Polignac number, because 101112212200221 - 2⁹ = 101112212199709 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101112212200194 and 101112212200203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101112212200291) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 18175839786 + ... + 18175845348.

Almost surely, 2^{101112212200221} is an apocalyptic number.

It is an amenable number.

101112212200221 is a deficient number, since it is larger than the sum of its proper divisors (53270896869059).

101112212200221 is an equidigital number, since it uses as much as digits as its factorization.

101112212200221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7147 (or 6791 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 101112212200221 its reverse (122002212211101), we get a palindrome (223114424411322).

The spelling of 101112212200221 in words is "one hundred one trillion, one hundred twelve billion, two hundred twelve million, two hundred thousand, two hundred twenty-one".