100011010211201 has 16 divisors (see below), whose sum is σ = 100910681442000. Its totient is φ = 99114832846848.

The previous prime is 100011010211179. The next prime is 100011010211263. The reversal of 100011010211201 is 102112010110001.

It can be written as a sum of positive squares in 8 ways, for example, as 275315337025 + 99735694874176 = 524705^2 + 9986776^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100011010211201 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (100011010214201) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 185338655 + ... + 185877483.

It is an arithmetic number, because the mean of its divisors is an integer number (6306917590125).

Almost surely, 2^{100011010211201} is an apocalyptic number.

It is an amenable number.

100011010211201 is a deficient number, since it is larger than the sum of its proper divisors (899671230799).

100011010211201 is a wasteful number, since it uses less digits than its factorization.

100011010211201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542068.

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

Adding to 100011010211201 its reverse (102112010110001), we get a palindrome (202123020321202).

The spelling of 100011010211201 in words is "one hundred trillion, eleven billion, ten million, two hundred eleven thousand, two hundred one".