100212122111201 has 16 divisors (see below), whose sum is σ = 105514924300800. Its totient is φ = 94912171625088.

The previous prime is 100212122111197. The next prime is 100212122111251. The reversal of 100212122111201 is 102111221212001.

It is not a de Polignac number, because 100212122111201 - 2² = 100212122111197 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 100212122111201.

It is not an unprimeable number, because it can be changed into a prime (100212122111251) 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, 1147375205 + ... + 1147462541.

It is an arithmetic number, because the mean of its divisors is an integer number (6594682768800).

Almost surely, 2^{100212122111201} is an apocalyptic number.

It is an amenable number.

100212122111201 is a deficient number, since it is larger than the sum of its proper divisors (5302802189599).

100212122111201 is an equidigital number, since it uses as much as digits as its factorization.

100212122111201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102968.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 100212122111201 its reverse (102111221212001), we get a palindrome (202323343323202).

The spelling of 100212122111201 in words is "one hundred trillion, two hundred twelve billion, one hundred twenty-two million, one hundred eleven thousand, two hundred one".