100101010012201 has 12 divisors (see below), whose sum is σ = 112104390137796. Its totient is φ = 89283919730720.

The previous prime is 100101010012189. The next prime is 100101010012229. The reversal of 100101010012201 is 102210010101001.

It can be written as a sum of positive squares in 2 ways, for example, as 67656366171801 + 32444643840400 = 8225349^2 + 5696020^2 .

It is not a de Polignac number, because 100101010012201 - 2¹⁷ = 100101009881129 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100101010012271) 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, 7804532026 + ... + 7804544851.

It is an arithmetic number, because the mean of its divisors is an integer number (9342032511483).

Almost surely, 2^{100101010012201} is an apocalyptic number.

100101010012201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100101010012201 is a deficient number, since it is larger than the sum of its proper divisors (12003380125595).

100101010012201 is a wasteful number, since it uses less digits than its factorization.

100101010012201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15609076952 (or 15609076941 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 100101010012201 its reverse (102210010101001), we get a palindrome (202311020113202).

The spelling of 100101010012201 in words is "one hundred trillion, one hundred one billion, ten million, twelve thousand, two hundred one".