100213002231001 has 8 divisors (see below), whose sum is σ = 109364021848224. Its totient is φ = 91068773728320.

The previous prime is 100213002230953. The next prime is 100213002231007. The reversal of 100213002231001 is 100132200312001.

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 100213002231001 - 2¹¹ = 100213002228953 is a prime.

It is a super-2 number, since 2×100213002231001² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100213002231007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1697747776 + ... + 1697806801.

It is an arithmetic number, because the mean of its divisors is an integer number (13670502731028).

Almost surely, 2^{100213002231001} is an apocalyptic number.

100213002231001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100213002231001 is a deficient number, since it is larger than the sum of its proper divisors (9151019617223).

100213002231001 is a wasteful number, since it uses less digits than its factorization.

100213002231001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3395557271.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 100213002231001 its reverse (100132200312001), we get a palindrome (200345202543002).

The spelling of 100213002231001 in words is "one hundred trillion, two hundred thirteen billion, two million, two hundred thirty-one thousand, one".