102120001122121 has 8 divisors (see below), whose sum is σ = 103146272900424. Its totient is φ = 101094027043200.

The previous prime is 102120001122119. The next prime is 102120001122127. The reversal of 102120001122121 is 121221100021201.

It can be written as a sum of positive squares in 4 ways, for example, as 9805164942400 + 92314836179721 = 3131320^2 + 9608061^2 .

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 102120001122121 - 2¹ = 102120001122119 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102120001122095 and 102120001122104.

It is not an unprimeable number, because it can be changed into a prime (102120001122127) 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, 73735306 + ... + 75107491.

It is an arithmetic number, because the mean of its divisors is an integer number (12893284112553).

Almost surely, 2^{102120001122121} is an apocalyptic number.

It is an amenable number.

102120001122121 is a deficient number, since it is larger than the sum of its proper divisors (1026271778303).

102120001122121 is a wasteful number, since it uses less digits than its factorization.

102120001122121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148849691.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 102120001122121 its reverse (121221100021201), we get a palindrome (223341101143322).

The spelling of 102120001122121 in words is "one hundred two trillion, one hundred twenty billion, one million, one hundred twenty-two thousand, one hundred twenty-one".