10001202212001 has 64 divisors (see below), whose sum is σ = 17909432948736. Its totient is φ = 4794393024000.

The previous prime is 10001202211843. The next prime is 10001202212021. The reversal of 10001202212001 is 10021220210001.

It is not a de Polignac number, because 10001202212001 - 2²⁵ = 10001168657569 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10001202212021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9931101 + ... + 10891701.

It is an arithmetic number, because the mean of its divisors is an integer number (279834889824).

Almost surely, 2^{10001202212001} is an apocalyptic number.

10001202212001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10001202212001 is a deficient number, since it is larger than the sum of its proper divisors (7908230736735).

10001202212001 is a wasteful number, since it uses less digits than its factorization.

10001202212001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 964102.

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

Adding to 10001202212001 its reverse (10021220210001), we get a palindrome (20022422422002).

The spelling of 10001202212001 in words is "ten trillion, one billion, two hundred two million, two hundred twelve thousand, one".