11211101002101 has 128 divisors (see below), whose sum is σ = 21441879244800. Its totient is φ = 5016990908160.

The previous prime is 11211101002043. The next prime is 11211101002183. The reversal of 11211101002101 is 10120010111211.

It is not a de Polignac number, because 11211101002101 - 2¹⁵ = 11211100969333 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11211101002901) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2356480 + ... + 5289158.

It is an arithmetic number, because the mean of its divisors is an integer number (167514681600).

Almost surely, 2^{11211101002101} is an apocalyptic number.

11211101002101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11211101002101 is a deficient number, since it is larger than the sum of its proper divisors (10230778242699).

11211101002101 is a wasteful number, since it uses less digits than its factorization.

11211101002101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2932799.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 11211101002101 its reverse (10120010111211), we get a palindrome (21331111113312).

The spelling of 11211101002101 in words is "eleven trillion, two hundred eleven billion, one hundred one million, two thousand, one hundred one".