11000101100021 has 16 divisors (see below), whose sum is σ = 12309164856576. Its totient is φ = 9743196000000.

The previous prime is 11000101099961. The next prime is 11000101100041. The reversal of 11000101100021 is 12000110100011.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 11000101100021 - 2¹⁴ = 11000101083637 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11000101099981 and 11000101100008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11000101100041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15899960 + ... + 16577361.

It is an arithmetic number, because the mean of its divisors is an integer number (769322803536).

Almost surely, 2^{11000101100021} is an apocalyptic number.

11000101100021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11000101100021 is a deficient number, since it is larger than the sum of its proper divisors (1309063756555).

11000101100021 is a wasteful number, since it uses less digits than its factorization.

11000101100021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32478124.

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

Adding to 11000101100021 its reverse (12000110100011), we get a palindrome (23000211200032).

The spelling of 11000101100021 in words is "eleven trillion, one hundred one million, one hundred thousand, twenty-one".