100201021010211 has 64 divisors (see below), whose sum is σ = 155025297100800. Its totient is φ = 56894942760960.

The previous prime is 100201021010201. The next prime is 100201021010227. The reversal of 100201021010211 is 112010120102001.

It is not a de Polignac number, because 100201021010211 - 2⁵ = 100201021010179 is a prime.

It is a super-2 number, since 2×100201021010211² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100201021010201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 162704110 + ... + 163318796.

It is an arithmetic number, because the mean of its divisors is an integer number (2422270267200).

Almost surely, 2^{100201021010211} is an apocalyptic number.

100201021010211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100201021010211 is a deficient number, since it is larger than the sum of its proper divisors (54824276090589).

100201021010211 is a wasteful number, since it uses less digits than its factorization.

100201021010211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 616044.

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

Adding to 100201021010211 its reverse (112010120102001), we get a palindrome (212211141112212).

The spelling of 100201021010211 in words is "one hundred trillion, two hundred one billion, twenty-one million, ten thousand, two hundred eleven".