102112120101001 has 4 divisors (see below), whose sum is σ = 107486442211600. Its totient is φ = 96737797990404.

The previous prime is 102112120100999. The next prime is 102112120101011. The reversal of 102112120101001 is 100101021211201.

It is a happy number.

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 102112120101001 - 2¹ = 102112120100999 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102112120101011) 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, 2687161055271 + ... + 2687161055308.

It is an arithmetic number, because the mean of its divisors is an integer number (26871610552900).

Almost surely, 2^{102112120101001} is an apocalyptic number.

It is an amenable number.

102112120101001 is a deficient number, since it is larger than the sum of its proper divisors (5374322110599).

102112120101001 is an equidigital number, since it uses as much as digits as its factorization.

102112120101001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5374322110598.

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

Adding to 102112120101001 its reverse (100101021211201), we get a palindrome (202213141312202).

The spelling of 102112120101001 in words is "one hundred two trillion, one hundred twelve billion, one hundred twenty million, one hundred one thousand, one".