10200001211001 has 24 divisors (see below), whose sum is σ = 16850843852544. Its totient is φ = 5824159830720.

The previous prime is 10200001210991. The next prime is 10200001211009. The reversal of 10200001211001 is 10011210000201.

It is a happy number.

It is not a de Polignac number, because 10200001211001 - 2²⁵ = 10199967656569 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (10200001211009) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61197921 + ... + 61364366.

It is an arithmetic number, because the mean of its divisors is an integer number (702118493856).

Almost surely, 2^{10200001211001} is an apocalyptic number.

It is an amenable number.

10200001211001 is a deficient number, since it is larger than the sum of its proper divisors (6650842641543).

10200001211001 is a wasteful number, since it uses less digits than its factorization.

10200001211001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122563621 (or 122563618 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10200001211001 its reverse (10011210000201), we get a palindrome (20211211211202).

The spelling of 10200001211001 in words is "ten trillion, two hundred billion, one million, two hundred eleven thousand, one".