1000000201101 has 16 divisors (see below), whose sum is σ = 1454575460160. Its totient is φ = 606048347520.

The previous prime is 1000000201069. The next prime is 1000000201121. The reversal of 1000000201101 is 1011020000001.

It is not a de Polignac number, because 1000000201101 - 2⁵ = 1000000201069 is a prime.

It is a super-2 number, since 2×1000000201101² (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1000000201101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000000201121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1485855 + ... + 2051283.

It is an arithmetic number, because the mean of its divisors is an integer number (90910966260).

Almost surely, 2^{1000000201101} is an apocalyptic number.

1000000201101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1000000201101 is a deficient number, since it is larger than the sum of its proper divisors (454575259059).

1000000201101 is a wasteful number, since it uses less digits than its factorization.

1000000201101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 619036.

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 1000000201101 its reverse (1011020000001), we get a palindrome (2011020201102).

The spelling of 1000000201101 in words is "one trillion, two hundred one thousand, one hundred one".