100100221201211 has 32 divisors (see below), whose sum is σ = 129657827520000. Its totient is φ = 74987289780480.

The previous prime is 100100221201129. The next prime is 100100221201213. The reversal of 100100221201211 is 112102122001001.

It is not a de Polignac number, because 100100221201211 - 2⁴² = 95702174690107 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100100221201213) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 95676461 + ... + 96717038.

It is an arithmetic number, because the mean of its divisors is an integer number (4051807110000).

Almost surely, 2^{100100221201211} is an apocalyptic number.

100100221201211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100100221201211 is a deficient number, since it is larger than the sum of its proper divisors (29557606318789).

100100221201211 is a wasteful number, since it uses less digits than its factorization.

100100221201211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192393779.

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

Adding to 100100221201211 its reverse (112102122001001), we get a palindrome (212202343202212).

The spelling of 100100221201211 in words is "one hundred trillion, one hundred billion, two hundred twenty-one million, two hundred one thousand, two hundred eleven".