1000121323201 has 96 divisors (see below), whose sum is σ = 1453283552000. Its totient is φ = 681499526400.

The previous prime is 1000121323151. The next prime is 1000121323211. The reversal of 1000121323201 is 1023231210001.

1000121323201 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 1000121323201 - 2⁹ = 1000121322689 is a prime.

It is a super-2 number, since 2×1000121323201² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1000121323211) 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, 10202461 + ... + 10300021.

Almost surely, 2^{1000121323201} is an apocalyptic number.

1000121323201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1000121323201 is a deficient number, since it is larger than the sum of its proper divisors (453162228799).

1000121323201 is a wasteful number, since it uses less digits than its factorization.

1000121323201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97636 (or 97611 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 1000121323201 its reverse (1023231210001), we get a palindrome (2023352533202).

The spelling of 1000121323201 in words is "one trillion, one hundred twenty-one million, three hundred twenty-three thousand, two hundred one".