100002121211001 has 16 divisors (see below), whose sum is σ = 133378514818304. Its totient is φ = 66646905784704.

The previous prime is 100002121210997. The next prime is 100002121211021. The reversal of 100002121211001 is 100112121200001.

It is not a de Polignac number, because 100002121211001 - 2² = 100002121210997 is a prime.

It is a super-2 number, since 2×100002121211001² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100002121211021) 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, 272952000 + ... + 273318126.

It is an arithmetic number, because the mean of its divisors is an integer number (8336157176144).

Almost surely, 2^{100002121211001} is an apocalyptic number.

It is an amenable number.

100002121211001 is a deficient number, since it is larger than the sum of its proper divisors (33376393607303).

100002121211001 is a wasteful number, since it uses less digits than its factorization.

100002121211001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394800.

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

Adding to 100002121211001 its reverse (100112121200001), we get a palindrome (200114242411002).

The spelling of 100002121211001 in words is "one hundred trillion, two billion, one hundred twenty-one million, two hundred eleven thousand, one".