102100001112101 has 4 divisors (see below), whose sum is σ = 105393549535104. Its totient is φ = 98806452689100.

The previous prime is 102100001112089. The next prime is 102100001112113. The reversal of 102100001112101 is 101211100001201.

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 an interprime number because it is at equal distance from previous prime (102100001112089) and next prime (102100001112113).

It is a cyclic number.

It is not a de Polignac number, because 102100001112101 - 2³⁴ = 102082821242917 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 (102100001112191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1646774211455 + ... + 1646774211516.

It is an arithmetic number, because the mean of its divisors is an integer number (26348387383776).

Almost surely, 2^{102100001112101} is an apocalyptic number.

It is an amenable number.

102100001112101 is a deficient number, since it is larger than the sum of its proper divisors (3293548423003).

102100001112101 is an equidigital number, since it uses as much as digits as its factorization.

102100001112101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3293548423002.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 102100001112101 its reverse (101211100001201), we get a palindrome (203311101113302).

The spelling of 102100001112101 in words is "one hundred two trillion, one hundred billion, one million, one hundred twelve thousand, one hundred one".