100002211001001 has 12 divisors (see below), whose sum is σ = 144447863469312. Its totient is φ = 66668036656536.

The previous prime is 100002211000921. The next prime is 100002211001081. The reversal of 100002211001001 is 100100112200001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (100002211000921) and next prime (100002211001081).

It is not a de Polignac number, because 100002211001001 - 2¹⁹ = 100002210476713 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (100002211001081) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2334801 + ... + 14333726.

It is an arithmetic number, because the mean of its divisors is an integer number (12037321955776).

Almost surely, 2^{100002211001001} is an apocalyptic number.

It is an amenable number.

100002211001001 is a deficient number, since it is larger than the sum of its proper divisors (44445652468311).

100002211001001 is a wasteful number, since it uses less digits than its factorization.

100002211001001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17335140 (or 17335137 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 100002211001001 its reverse (100100112200001), we get a palindrome (200102323201002).

The spelling of 100002211001001 in words is "one hundred trillion, two billion, two hundred eleven million, one thousand, one".