100111211201 has 4 divisors (see below), whose sum is σ = 100111922004. Its totient is φ = 100110500400.

The previous prime is 100111211191. The next prime is 100111211273. The reversal of 100111211201 is 102112111001.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 102112111001 = 25057 ⋅4075193.

It can be written as a sum of positive squares in 2 ways, for example, as 39015730576 + 61095480625 = 197524^2 + 247175^2 .

It is a cyclic number.

It is not a de Polignac number, because 100111211201 - 2¹⁴ = 100111194817 is a prime.

It is a super-3 number, since 3×100111211201³ (a number of 34 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100111213201) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 65090 + ... + 452171.

It is an arithmetic number, because the mean of its divisors is an integer number (25027980501).

Almost surely, 2^100111211201 is an apocalyptic number.

It is an amenable number.

100111211201 is a deficient number, since it is larger than the sum of its proper divisors (710803).

100111211201 is an equidigital number, since it uses as much as digits as its factorization.

100111211201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 710802.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 100111211201 its reverse (102112111001), we get a palindrome (202223322202).

The spelling of 100111211201 in words is "one hundred billion, one hundred eleven million, two hundred eleven thousand, two hundred one".