100212211122001 has 8 divisors (see below), whose sum is σ = 115753142258784. Its totient is φ = 85743068339520.

The previous prime is 100212211121993. The next prime is 100212211122007. The reversal of 100212211122001 is 100221112212001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100212211122001 - 2³ = 100212211121993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100212211122007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 267947088375 + ... + 267947088748.

It is an arithmetic number, because the mean of its divisors is an integer number (14469142782348).

Almost surely, 2^{100212211122001} is an apocalyptic number.

100212211122001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100212211122001 is a deficient number, since it is larger than the sum of its proper divisors (15540931136783).

100212211122001 is a wasteful number, since it uses less digits than its factorization.

100212211122001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 535894177151.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 100212211122001 its reverse (100221112212001), we get a palindrome (200433323334002).

The spelling of 100212211122001 in words is "one hundred trillion, two hundred twelve billion, two hundred eleven million, one hundred twenty-two thousand, one".