100002012010101 has 24 divisors (see below), whose sum is σ = 147973516792920. Its totient is φ = 65040613977600.

The previous prime is 100002012010079. The next prime is 100002012010213. The reversal of 100002012010101 is 101010210200001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 9703536502500 + 90298475507601 = 3115050^2 + 9502551^2 .

It is not a de Polignac number, because 100002012010101 - 2²³ = 100002003621493 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100002012012101) 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, 15222385 + ... + 20777993.

It is an arithmetic number, because the mean of its divisors is an integer number (6165563199705).

Almost surely, 2^{100002012010101} is an apocalyptic number.

It is an amenable number.

100002012010101 is a deficient number, since it is larger than the sum of its proper divisors (47971504782819).

100002012010101 is a wasteful number, since it uses less digits than its factorization.

100002012010101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5604437 (or 5604434 counting only the distinct ones).

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

Adding to 100002012010101 its reverse (101010210200001), we get a palindrome (201012222210102).

The spelling of 100002012010101 in words is "one hundred trillion, two billion, twelve million, ten thousand, one hundred one".