1900010100101 has 16 divisors (see below), whose sum is σ = 2013289095168. Its totient is φ = 1789316007600.

The previous prime is 1900010100097. The next prime is 1900010100133. The reversal of 1900010100101 is 1010010100091.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 1900010100101 - 2² = 1900010100097 is a prime.

It is a super-2 number, since 2×1900010100101² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1900010100161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2553716 + ... + 3212706.

It is an arithmetic number, because the mean of its divisors is an integer number (125830568448).

Almost surely, 2^{1900010100101} is an apocalyptic number.

It is an amenable number.

1900010100101 is a deficient number, since it is larger than the sum of its proper divisors (113278995067).

1900010100101 is a wasteful number, since it uses less digits than its factorization.

1900010100101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 660952.

The product of its (nonzero) digits is 9, while the sum is 14.

Adding to 1900010100101 its reverse (1010010100091), we get a palindrome (2910020200192).

The spelling of 1900010100101 in words is "one trillion, nine hundred billion, ten million, one hundred thousand, one hundred one".