102100122001 has 8 divisors (see below), whose sum is σ = 102275449280. Its totient is φ = 101924934768.

The previous prime is 102100121947. The next prime is 102100122011. The reversal of 102100122001 is 100221001201.

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 102100122001 - 2⁷ = 102100121873 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102100122011) 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, 1480060 + ... + 1547506.

It is an arithmetic number, because the mean of its divisors is an integer number (12784431160).

Almost surely, 2^102100122001 is an apocalyptic number.

It is an amenable number.

102100122001 is a deficient number, since it is larger than the sum of its proper divisors (175327279).

102100122001 is an equidigital number, since it uses as much as digits as its factorization.

102100122001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70023.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 102100122001 its reverse (100221001201), we get a palindrome (202321123202).

The spelling of 102100122001 in words is "one hundred two billion, one hundred million, one hundred twenty-two thousand, one".