102102101122001 has 4 divisors (see below), whose sum is σ = 108108107070372. Its totient is φ = 96096095173632.

The previous prime is 102102101121991. The next prime is 102102101122013. The reversal of 102102101122001 is 100221101201201.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 50466034563025 + 51636066558976 = 7103945^2 + 7185824^2 .

It is a cyclic number.

It is not a de Polignac number, because 102102101122001 - 2¹⁰ = 102102101120977 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102102101122501) 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, 3003002974160 + ... + 3003002974193.

It is an arithmetic number, because the mean of its divisors is an integer number (27027026767593).

Almost surely, 2^{102102101122001} is an apocalyptic number.

It is an amenable number.

102102101122001 is a deficient number, since it is larger than the sum of its proper divisors (6006005948371).

102102101122001 is an equidigital number, since it uses as much as digits as its factorization.

102102101122001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6006005948370.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 102102101122001 its reverse (100221101201201), we get a palindrome (202323202323202).

The spelling of 102102101122001 in words is "one hundred two trillion, one hundred two billion, one hundred one million, one hundred twenty-two thousand, one".