100211101001 has 8 divisors (see below), whose sum is σ = 109651480608. Its totient is φ = 90825768000.

The previous prime is 100211100989. The next prime is 100211101037. The reversal of 100211101001 is 100101112001.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a de Polignac number, because none of the positive numbers 2^k-100211101001 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 100211101001.

It is not an unprimeable number, because it can be changed into a prime (100211101051) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13757840 + ... + 13765121.

It is an arithmetic number, because the mean of its divisors is an integer number (13706435076).

Almost surely, 2^100211101001 is an apocalyptic number.

100211101001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100211101001 is a deficient number, since it is larger than the sum of its proper divisors (9440379607).

100211101001 is a wasteful number, since it uses less digits than its factorization.

100211101001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27523303.

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 100211101001 its reverse (100101112001), we get a palindrome (200312213002).

The spelling of 100211101001 in words is "one hundred billion, two hundred eleven million, one hundred one thousand, one".