101000111201 has 12 divisors (see below), whose sum is σ = 111283774512. Its totient is φ = 90909090000.

The previous prime is 101000111197. The next prime is 101000111207. The reversal of 101000111201 is 102111000101.

It is a happy number.

It is not a de Polignac number, because 101000111201 - 2² = 101000111197 is a prime.

It is a super-2 number, since 2×101000111201² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101000111207) 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, 337835 + ... + 562256.

It is an arithmetic number, because the mean of its divisors is an integer number (9273647876).

Almost surely, 2^101000111201 is an apocalyptic number.

101000111201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101000111201 is a deficient number, since it is larger than the sum of its proper divisors (10283663311).

101000111201 is an equidigital number, since it uses as much as digits as its factorization.

101000111201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 900304 (or 900203 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 101000111201 its reverse (102111000101), we get a palindrome (203111111302).

Subtracting 101000111201 from its reverse (102111000101), we obtain a square (1110888900 = 33330²).

The spelling of 101000111201 in words is "one hundred one billion, one hundred eleven thousand, two hundred one".