210122120121001 has 96 divisors (see below), whose sum is σ = 248526919920384. Its totient is φ = 177122905344000.

The previous prime is 210122120120993. The next prime is 210122120121073. The reversal of 210122120121001 is 100121021221012.

It is not a de Polignac number, because 210122120121001 - 2³ = 210122120120993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (210122120151001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2811073710 + ... + 2811148456.

It is an arithmetic number, because the mean of its divisors is an integer number (2588822082504).

Almost surely, 2^{210122120121001} is an apocalyptic number.

It is an amenable number.

210122120121001 is a deficient number, since it is larger than the sum of its proper divisors (38404799799383).

210122120121001 is a wasteful number, since it uses less digits than its factorization.

210122120121001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75103 (or 75092 counting only the distinct ones).

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

Adding to 210122120121001 its reverse (100121021221012), we get a palindrome (310243141342013).

It can be divided in two parts, 2101221 and 20121001, that added together give a palindrome (22222222).

The spelling of 210122120121001 in words is "two hundred ten trillion, one hundred twenty-two billion, one hundred twenty million, one hundred twenty-one thousand, one".