101112121200221 has 4 divisors (see below), whose sum is σ = 101112151622592. Its totient is φ = 101112090777852.

The previous prime is 101112121200187. The next prime is 101112121200263. The reversal of 101112121200221 is 122002121211101.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 101112121200221 - 2²⁶ = 101112054091357 is a prime.

It is a super-2 number, since 2×101112121200221² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 101112121200221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101112121200121) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9514661 + ... + 17110026.

It is an arithmetic number, because the mean of its divisors is an integer number (25278037905648).

Almost surely, 2^{101112121200221} is an apocalyptic number.

It is an amenable number.

101112121200221 is a deficient number, since it is larger than the sum of its proper divisors (30422371).

101112121200221 is an equidigital number, since it uses as much as digits as its factorization.

101112121200221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30422370.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 101112121200221 its reverse (122002121211101), we get a palindrome (223114242411322).

The spelling of 101112121200221 in words is "one hundred one trillion, one hundred twelve billion, one hundred twenty-one million, two hundred thousand, two hundred twenty-one".