100212202201001 has 16 divisors (see below), whose sum is σ = 109803445344000. Its totient is φ = 90701296963200.

The previous prime is 100212202200997. The next prime is 100212202201037. The reversal of 100212202201001 is 100102202212001.

It is not a de Polignac number, because 100212202201001 - 2² = 100212202200997 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (100212202201201) 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, 8122631 + ... + 16321811.

It is an arithmetic number, because the mean of its divisors is an integer number (6862715334000).

Almost surely, 2^{100212202201001} is an apocalyptic number.

100212202201001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100212202201001 is a deficient number, since it is larger than the sum of its proper divisors (9591243142999).

100212202201001 is a wasteful number, since it uses less digits than its factorization.

100212202201001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8204080.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 100212202201001 its reverse (100102202212001), we get a palindrome (200314404413002).

It can be divided in two parts, 10021220 and 2201001, that added together give a palindrome (12222221).

The spelling of 100212202201001 in words is "one hundred trillion, two hundred twelve billion, two hundred two million, two hundred one thousand, one".