102101100110121 has 64 divisors (see below), whose sum is σ = 164355580569600. Its totient is φ = 55228775780160.

The previous prime is 102101100110059. The next prime is 102101100110131. The reversal of 102101100110121 is 121011001101201.

It is not a de Polignac number, because 102101100110121 - 2⁷ = 102101100109993 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102101100110097 and 102101100110106.

It is not an unprimeable number, because it can be changed into a prime (102101100110131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 181063591 + ... + 181626611.

It is an arithmetic number, because the mean of its divisors is an integer number (2568055946400).

Almost surely, 2^{102101100110121} is an apocalyptic number.

It is an amenable number.

102101100110121 is a deficient number, since it is larger than the sum of its proper divisors (62254480459479).

102101100110121 is an equidigital number, since it uses as much as digits as its factorization.

102101100110121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564347 (or 564309 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 102101100110121 its reverse (121011001101201), we get a palindrome (223112101211322).

The spelling of 102101100110121 in words is "one hundred two trillion, one hundred one billion, one hundred million, one hundred ten thousand, one hundred twenty-one".