100012101201 has 12 divisors (see below), whose sum is σ = 144484264080. Its totient is φ = 66664423320.

The previous prime is 100012101197. The next prime is 100012101239. The reversal of 100012101201 is 102101210001.

It is a happy number.

It is not a de Polignac number, because 100012101201 - 2² = 100012101197 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 (100012101271) 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 11 ways as a sum of consecutive naturals, for example, 797571 + ... + 914408.

It is an arithmetic number, because the mean of its divisors is an integer number (12040355340).

Almost surely, 2^100012101201 is an apocalyptic number.

It is an amenable number.

100012101201 is a deficient number, since it is larger than the sum of its proper divisors (44472162879).

100012101201 is a wasteful number, since it uses less digits than its factorization.

100012101201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1718476 (or 1718473 counting only the distinct ones).

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

Adding to 100012101201 its reverse (102101210001), we get a palindrome (202113311202).

The spelling of 100012101201 in words is "one hundred billion, twelve million, one hundred one thousand, two hundred one".