100001211101 has 8 divisors (see below), whose sum is σ = 110172352608. Its totient is φ = 90010090000.

The previous prime is 100001211091. The next prime is 100001211131. The reversal of 100001211101 is 101112100001.

It is a happy number.

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 100001211101 - 2¹⁴ = 100001194717 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100001211131) 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, 45003935 + ... + 45006156.

It is an arithmetic number, because the mean of its divisors is an integer number (13771544076).

Almost surely, 2^100001211101 is an apocalyptic number.

100001211101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100001211101 is a deficient number, since it is larger than the sum of its proper divisors (10171141507).

100001211101 is a wasteful number, since it uses less digits than its factorization.

100001211101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90010203.

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

Adding to 100001211101 its reverse (101112100001), we get a palindrome (201113311102).

Subtracting 100001211101 from its reverse (101112100001), we obtain a square (1110888900 = 33330²).

The spelling of 100001211101 in words is "one hundred billion, one million, two hundred eleven thousand, one hundred one".