10200111100001 has 32 divisors (see below), whose sum is σ = 10545386449920. Its totient is φ = 9859961779200.

The previous prime is 10200111099967. The next prime is 10200111100009. The reversal of 10200111100001 is 10000111100201.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10200111100001 is a prime.

It is a super-2 number, since 2×10200111100001² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10200111100009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2030678576 + ... + 2030683598.

It is an arithmetic number, because the mean of its divisors is an integer number (329543326560).

Almost surely, 2^{10200111100001} is an apocalyptic number.

It is an amenable number.

10200111100001 is a deficient number, since it is larger than the sum of its proper divisors (345275349919).

10200111100001 is a wasteful number, since it uses less digits than its factorization.

10200111100001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6297.

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 10200111100001 its reverse (10000111100201), we get a palindrome (20200222200202).

The spelling of 10200111100001 in words is "ten trillion, two hundred billion, one hundred eleven million, one hundred thousand, one".