100010002211001 has 48 divisors (see below), whose sum is σ = 153648832296960. Its totient is φ = 64971692246160.

The previous prime is 100010002210933. The next prime is 100010002211033. The reversal of 100010002211001 is 100112200010001.

It is a happy number.

It is not a de Polignac number, because 100010002211001 - 2²³ = 100009993822393 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 (100010002211201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6600021 + ... + 15607058.

It is an arithmetic number, because the mean of its divisors is an integer number (3201017339520).

Almost surely, 2^{100010002211001} is an apocalyptic number.

It is an amenable number.

100010002211001 is a deficient number, since it is larger than the sum of its proper divisors (53638830085959).

100010002211001 is an equidigital number, since it uses as much as digits as its factorization.

100010002211001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22207568 (or 22207556 counting only the distinct ones).

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

Adding to 100010002211001 its reverse (100112200010001), we get a palindrome (200122202221002).

The spelling of 100010002211001 in words is "one hundred trillion, ten billion, two million, two hundred eleven thousand, one".