1001100212101 has 24 divisors (see below), whose sum is σ = 1134754324704. Its totient is φ = 875843922240.

The previous prime is 1001100212087. The next prime is 1001100212129. The reversal of 1001100212101 is 1012120011001.

It is not a de Polignac number, because 1001100212101 - 2⁵ = 1001100212069 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001100212171) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2663811 + ... + 3016303.

It is an arithmetic number, because the mean of its divisors is an integer number (47281430196).

Almost surely, 2^{1001100212101} is an apocalyptic number.

1001100212101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1001100212101 is a deficient number, since it is larger than the sum of its proper divisors (133654112603).

1001100212101 is a wasteful number, since it uses less digits than its factorization.

1001100212101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352869 (or 352840 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 1001100212101 its reverse (1012120011001), we get a palindrome (2013220223102).

The spelling of 1001100212101 in words is "one trillion, one billion, one hundred million, two hundred twelve thousand, one hundred one".