102123121320001 has 8 divisors (see below), whose sum is σ = 105653205311400. Its totient is φ = 98593610465280.

The previous prime is 102123121319893. The next prime is 102123121320019. The reversal of 102123121320001 is 100023121321201.

It can be written as a sum of positive squares in 4 ways, for example, as 45881386016400 + 56241735303601 = 6773580^2 + 7499449^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 102123121320001 - 2¹⁵ = 102123121287233 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102123121300001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 142921630 + ... + 143634391.

It is an arithmetic number, because the mean of its divisors is an integer number (13206650663925).

Almost surely, 2^{102123121320001} is an apocalyptic number.

It is an amenable number.

102123121320001 is a deficient number, since it is larger than the sum of its proper divisors (3530083991399).

102123121320001 is a wasteful number, since it uses less digits than its factorization.

102123121320001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286568339.

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 102123121320001 its reverse (100023121321201), we get a palindrome (202146242641202).

The spelling of 102123121320001 in words is "one hundred two trillion, one hundred twenty-three billion, one hundred twenty-one million, three hundred twenty thousand, one".