100201000121211 has 64 divisors (see below), whose sum is σ = 148511736921600. Its totient is φ = 59586804480000.

The previous prime is 100201000121197. The next prime is 100201000121219. The reversal of 100201000121211 is 112121000102001.

It is not a de Polignac number, because 100201000121211 - 2⁵ = 100201000121179 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100201000121219) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4406171301 + ... + 4406194041.

It is an arithmetic number, because the mean of its divisors is an integer number (2320495889400).

Almost surely, 2^{100201000121211} is an apocalyptic number.

100201000121211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100201000121211 is a deficient number, since it is larger than the sum of its proper divisors (48310736800389).

100201000121211 is a wasteful number, since it uses less digits than its factorization.

100201000121211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34668.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 100201000121211 its reverse (112121000102001), we get a palindrome (212322000223212).

The spelling of 100201000121211 in words is "one hundred trillion, two hundred one billion, one hundred twenty-one thousand, two hundred eleven".