10002122001121 has 12 divisors (see below), whose sum is σ = 10631804020992. Its totient is φ = 9407814667328.

The previous prime is 10002122001083. The next prime is 10002122001127. The reversal of 10002122001121 is 12110022120001.

10002122001121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10002122001121 - 2⁷ = 10002122000993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10002122001127) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10474105 + ... + 11389078.

It is an arithmetic number, because the mean of its divisors is an integer number (885983668416).

Almost surely, 2^{10002122001121} is an apocalyptic number.

It is an amenable number.

10002122001121 is a deficient number, since it is larger than the sum of its proper divisors (629682019871).

10002122001121 is a wasteful number, since it uses less digits than its factorization.

10002122001121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21864800 (or 21864783 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 10002122001121 its reverse (12110022120001), we get a palindrome (22112144121122).

The spelling of 10002122001121 in words is "ten trillion, two billion, one hundred twenty-two million, one thousand, one hundred twenty-one".