102122120212001 has 8 divisors (see below), whose sum is σ = 102172215436200. Its totient is φ = 102072037148928.

The previous prime is 102122120211959. The next prime is 102122120212003. The reversal of 102122120212001 is 100212021221201.

It can be written as a sum of positive squares in 4 ways, for example, as 27479864031376 + 74642256180625 = 5242124^2 + 8639575^2 .

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 102122120212001 - 2²² = 102122116017697 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102122120212003) 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, 13781495 + ... + 19853811.

It is an arithmetic number, because the mean of its divisors is an integer number (12771526929525).

Almost surely, 2^{102122120212001} is an apocalyptic number.

It is an amenable number.

102122120212001 is a deficient number, since it is larger than the sum of its proper divisors (50095224199).

102122120212001 is an equidigital number, since it uses as much as digits as its factorization.

102122120212001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6080563.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 102122120212001 its reverse (100212021221201), we get a palindrome (202334141433202).

The spelling of 102122120212001 in words is "one hundred two trillion, one hundred twenty-two billion, one hundred twenty million, two hundred twelve thousand, one".