100201220011211 has 12 divisors (see below), whose sum is σ = 110138830801272. Its totient is φ = 91091770308000.

The previous prime is 100201220011201. The next prime is 100201220011213. The reversal of 100201220011211 is 112110022102001.

It is not a de Polignac number, because 100201220011211 - 2⁴⁶ = 29832475833547 is a prime.

It is a super-2 number, since 2×100201220011211² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100201220011213) 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, 55046471 + ... + 56837631.

It is an arithmetic number, because the mean of its divisors is an integer number (9178235900106).

Almost surely, 2^{100201220011211} is an apocalyptic number.

100201220011211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100201220011211 is a deficient number, since it is larger than the sum of its proper divisors (9937610790061).

100201220011211 is a wasteful number, since it uses less digits than its factorization.

100201220011211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2253514 (or 2253503 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 100201220011211 its reverse (112110022102001), we get a palindrome (212311242113212).

The spelling of 100201220011211 in words is "one hundred trillion, two hundred one billion, two hundred twenty million, eleven thousand, two hundred eleven".