100112001201 has 24 divisors (see below), whose sum is σ = 144987584040. Its totient is φ = 66565529856.

The previous prime is 100112001163. The next prime is 100112001229. The reversal of 100112001201 is 102100211001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 114383025 + 99997618176 = 10695^2 + 316224^2 .

It is a de Polignac number, because none of the positive numbers 2^k-100112001201 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 (100112001701) 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, 6454011 + ... + 6469503.

It is an arithmetic number, because the mean of its divisors is an integer number (6041149335).

Almost surely, 2^100112001201 is an apocalyptic number.

It is an amenable number.

100112001201 is a deficient number, since it is larger than the sum of its proper divisors (44875582839).

100112001201 is a wasteful number, since it uses less digits than its factorization.

100112001201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17345 (or 17342 counting only the distinct ones).

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

Adding to 100112001201 its reverse (102100211001), we get a palindrome (202212212202).

The spelling of 100112001201 in words is "one hundred billion, one hundred twelve million, one thousand, two hundred one".