101050100001 has 12 divisors (see below), whose sum is σ = 146178145828. Its totient is φ = 67266630144.

The previous prime is 101050099999. The next prime is 101050100017. The reversal of 101050100001 is 100001050101.

It can be written as a sum of positive squares in 2 ways, for example, as 32607691776 + 68442408225 = 180576^2 + 261615^2 .

It is not a de Polignac number, because 101050100001 - 2¹ = 101050099999 is a prime.

It is a super-2 number, since 2×101050100001² (a number of 23 digits) contains 22 as substring.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101050100071) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8335540 + ... + 8347653.

Almost surely, 2^101050100001 is an apocalyptic number.

It is an amenable number.

101050100001 is a deficient number, since it is larger than the sum of its proper divisors (45128045827).

101050100001 is a wasteful number, since it uses less digits than its factorization.

101050100001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16683872 (or 16683869 counting only the distinct ones).

The product of its (nonzero) digits is 5, while the sum is 9.

Adding to 101050100001 its reverse (100001050101), we get a palindrome (201051150102).

The spelling of 101050100001 in words is "one hundred one billion, fifty million, one hundred thousand, one".