102101122121 has 4 divisors (see below), whose sum is σ = 105621850500. Its totient is φ = 98580393744.

The previous prime is 102101122049. The next prime is 102101122199. The reversal of 102101122121 is 121221101201.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 121221101201 = 79 ⋅1534444319.

It can be written as a sum of positive squares in 2 ways, for example, as 67685306896 + 34415815225 = 260164^2 + 185515^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-102101122121 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102101122096 and 102101122105.

It is not an unprimeable number, because it can be changed into a prime (102101122421) 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, 1760364146 + ... + 1760364203.

It is an arithmetic number, because the mean of its divisors is an integer number (26405462625).

Almost surely, 2^102101122121 is an apocalyptic number.

It is an amenable number.

102101122121 is a deficient number, since it is larger than the sum of its proper divisors (3520728379).

102101122121 is an equidigital number, since it uses as much as digits as its factorization.

102101122121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3520728378.

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

Adding to 102101122121 its reverse (121221101201), we get a palindrome (223322223322).

The spelling of 102101122121 in words is "one hundred two billion, one hundred one million, one hundred twenty-two thousand, one hundred twenty-one".