102123121101 has 16 divisors (see below), whose sum is σ = 136408047360. Its totient is φ = 67960224000.

The previous prime is 102123121097. The next prime is 102123121171. The reversal of 102123121101 is 101121321201.

It is not a de Polignac number, because 102123121101 - 2² = 102123121097 is a prime.

It is a super-2 number, since 2×102123121101² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102123121171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5562505 + ... + 5580833.

It is an arithmetic number, because the mean of its divisors is an integer number (8525502960).

Almost surely, 2^102123121101 is an apocalyptic number.

It is an amenable number.

102123121101 is a deficient number, since it is larger than the sum of its proper divisors (34284926259).

102123121101 is a wasteful number, since it uses less digits than its factorization.

102123121101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21556.

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 102123121101 its reverse (101121321201), we get a palindrome (203244442302).

It can be divided in two parts, 10212 and 3121101, that added together give a palindrome (3131313).

The spelling of 102123121101 in words is "one hundred two billion, one hundred twenty-three million, one hundred twenty-one thousand, one hundred one".