1900010010001 has 8 divisors (see below), whose sum is σ = 1946751010344. Its totient is φ = 1853288023680.

The previous prime is 1900010009981. The next prime is 1900010010061. The reversal of 1900010010001 is 1000100100091.

It can be written as a sum of positive squares in 4 ways, for example, as 44026110976 + 1855983899025 = 209824^2 + 1362345^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1900010010001 - 2¹⁹ = 1900009485713 is a prime.

It is a super-2 number, since 2×1900010010001² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1900010010061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4551090 + ... + 4951003.

It is an arithmetic number, because the mean of its divisors is an integer number (243343876293).

Almost surely, 2^{1900010010001} is an apocalyptic number.

It is an amenable number.

1900010010001 is a deficient number, since it is larger than the sum of its proper divisors (46741000343).

1900010010001 is an equidigital number, since it uses as much as digits as its factorization.

1900010010001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9507011.

The product of its (nonzero) digits is 9, while the sum is 13.

Adding to 1900010010001 its reverse (1000100100091), we get a palindrome (2900110110092).

The spelling of 1900010010001 in words is "one trillion, nine hundred billion, ten million, ten thousand, one".