10002122001201 has 64 divisors (see below), whose sum is σ = 14911416778752. Its totient is φ = 5912735400000.

The previous prime is 10002122001187. The next prime is 10002122001233. The reversal of 10002122001201 is 10210022120001.

10002122001201 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 10002122001201 - 2²² = 10002117806897 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10002122001251) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 103782606 + ... + 103878936.

It is an arithmetic number, because the mean of its divisors is an integer number (232990887168).

Almost surely, 2^{10002122001201} is an apocalyptic number.

10002122001201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10002122001201 is a deficient number, since it is larger than the sum of its proper divisors (4909294777551).

10002122001201 is a wasteful number, since it uses less digits than its factorization.

10002122001201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96874.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10002122001201 its reverse (10210022120001), we get a palindrome (20212144121202).

The spelling of 10002122001201 in words is "ten trillion, two billion, one hundred twenty-two million, one thousand, two hundred one".