100201211100211 has 16 divisors (see below), whose sum is σ = 107953187328000. Its totient is φ = 92455550473248.

The previous prime is 100201211100163. The next prime is 100201211100251. The reversal of 100201211100211 is 112001112102001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 100201211100211 - 2¹³ = 100201211092019 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100201211100191 and 100201211100200.

It is not an unprimeable number, because it can be changed into a prime (100201211100251) 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, 1865952240 + ... + 1866005938.

It is an arithmetic number, because the mean of its divisors is an integer number (6747074208000).

Almost surely, 2^{100201211100211} is an apocalyptic number.

100201211100211 is a deficient number, since it is larger than the sum of its proper divisors (7751976227789).

100201211100211 is a wasteful number, since it uses less digits than its factorization.

100201211100211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109818.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 100201211100211 its reverse (112001112102001), we get a palindrome (212202323202212).

The spelling of 100201211100211 in words is "one hundred trillion, two hundred one billion, two hundred eleven million, one hundred thousand, two hundred eleven".