102112112222101 has 8 divisors (see below), whose sum is σ = 103511955154904. Its totient is φ = 100712297583360.

The previous prime is 102112112222069. The next prime is 102112112222179. The reversal of 102112112222101 is 101222211211201.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 58261559321476 + 43850552900625 = 7632926^2 + 6621975^2 .

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 102112112222101 - 2⁵ = 102112112222069 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102112112222401) 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, 245431 + ... + 14292811.

It is an arithmetic number, because the mean of its divisors is an integer number (12938994394363).

Almost surely, 2^{102112112222101} is an apocalyptic number.

It is an amenable number.

102112112222101 is a deficient number, since it is larger than the sum of its proper divisors (1399842932803).

102112112222101 is an equidigital number, since it uses as much as digits as its factorization.

102112112222101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14147031.

The product of its (nonzero) digits is 64, while the sum is 19.

Adding to 102112112222101 its reverse (101222211211201), we get a palindrome (203334323433302).

The spelling of 102112112222101 in words is "one hundred two trillion, one hundred twelve billion, one hundred twelve million, two hundred twenty-two thousand, one hundred one".