100200110012001 has 24 divisors (see below), whose sum is σ = 153261701859240. Its totient is φ = 62864718890496.

The previous prime is 100200110011993. The next prime is 100200110012039. The reversal of 100200110012001 is 100210011002001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 5258491059600 + 94941618952401 = 2293140^2 + 9743799^2 .

It is not a de Polignac number, because 100200110012001 - 2³ = 100200110011993 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 (100200110002001) 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, 29303610 + ... + 32543843.

It is an arithmetic number, because the mean of its divisors is an integer number (6385904244135).

Almost surely, 2^{100200110012001} is an apocalyptic number.

It is an amenable number.

100200110012001 is a deficient number, since it is larger than the sum of its proper divisors (53061591847239).

100200110012001 is a wasteful number, since it uses less digits than its factorization.

100200110012001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61858065 (or 61858062 counting only the distinct ones).

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

Adding to 100200110012001 its reverse (100210011002001), we get a palindrome (200410121014002).

The spelling of 100200110012001 in words is "one hundred trillion, two hundred billion, one hundred ten million, twelve thousand, one".