1201211012001 has 192 divisors, whose sum is σ = 2284598566656. Its totient is φ = 551332454400.

The previous prime is 1201211011969. The next prime is 1201211012017. The reversal of 1201211012001 is 1002101121021.

It is not a de Polignac number, because 1201211012001 - 2⁵ = 1201211011969 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1201211012081) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 45665485 + ... + 45691781.

It is an arithmetic number, because the mean of its divisors is an integer number (11898950868).

Almost surely, 2^{1201211012001} is an apocalyptic number.

1201211012001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1201211012001 is a deficient number, since it is larger than the sum of its proper divisors (1083387554655).

1201211012001 is a wasteful number, since it uses less digits than its factorization.

1201211012001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26432 (or 26425 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1201211012001 its reverse (1002101121021), we get a palindrome (2203312133022).

The spelling of 1201211012001 in words is "one trillion, two hundred one billion, two hundred eleven million, twelve thousand, one".