1012120100001 has 24 divisors (see below), whose sum is σ = 1473106775400. Its totient is φ = 669606302976.

The previous prime is 1012120099999. The next prime is 1012120100003. The reversal of 1012120100001 is 1000010212101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1012120099999) and next prime (1012120100003).

It can be written as a sum of positive squares in 4 ways, for example, as 18208803600 + 993911296401 = 134940^2 + 996951^2 .

It is not a de Polignac number, because 1012120100001 - 2¹ = 1012120099999 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 (1012120100003) 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, 1127071 + ... + 1815083.

It is an arithmetic number, because the mean of its divisors is an integer number (61379448975).

Almost surely, 2^{1012120100001} is an apocalyptic number.

It is an amenable number.

1012120100001 is a deficient number, since it is larger than the sum of its proper divisors (460986675399).

1012120100001 is a wasteful number, since it uses less digits than its factorization.

1012120100001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 689265 (or 689262 counting only the distinct ones).

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

Adding to 1012120100001 its reverse (1000010212101), we get a palindrome (2012130312102).

The spelling of 1012120100001 in words is "one trillion, twelve billion, one hundred twenty million, one hundred thousand, one".