100002122111001 has 16 divisors (see below), whose sum is σ = 146897806742208. Its totient is φ = 60007273992000.

The previous prime is 100002122110993. The next prime is 100002122111137. The reversal of 100002122111001 is 100111221200001.

It is not a de Polignac number, because 100002122111001 - 2³ = 100002122110993 is a prime.

It is a super-4 number, since 4×100002122111001⁴ (a number of 57 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (100002122115001) 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, 15001815166 + ... + 15001821831.

It is an arithmetic number, because the mean of its divisors is an integer number (9181112921388).

Almost surely, 2^{100002122111001} is an apocalyptic number.

100002122111001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100002122111001 is a deficient number, since it is larger than the sum of its proper divisors (46895684631207).

100002122111001 is a wasteful number, since it uses less digits than its factorization.

100002122111001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30003637112.

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

Adding to 100002122111001 its reverse (100111221200001), we get a palindrome (200113343311002).

The spelling of 100002122111001 in words is "one hundred trillion, two billion, one hundred twenty-two million, one hundred eleven thousand, one".