11021110101001 has 64 divisors (see below), whose sum is σ = 15059043127296. Its totient is φ = 7787989036800.

The previous prime is 11021110100983. The next prime is 11021110101007. The reversal of 11021110101001 is 10010101112011.

It is not a de Polignac number, because 11021110101001 - 2¹¹ = 11021110098953 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11021110101007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19839115 + ... + 20387071.

It is an arithmetic number, because the mean of its divisors is an integer number (235297548864).

Almost surely, 2^{11021110101001} is an apocalyptic number.

11021110101001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11021110101001 is a deficient number, since it is larger than the sum of its proper divisors (4037933026295).

11021110101001 is a wasteful number, since it uses less digits than its factorization.

11021110101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548342.

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 11021110101001 its reverse (10010101112011), we get a palindrome (21031211213012).

It can be divided in two parts, 1102111010 and 1001, that added together give a palindrome (1102112011).

The spelling of 11021110101001 in words is "eleven trillion, twenty-one billion, one hundred ten million, one hundred one thousand, one".