21100011021011 has 12 divisors (see below), whose sum is σ = 24191937456552. Its totient is φ = 18331231291776.

The previous prime is 21100011020993. The next prime is 21100011021053. The reversal of 21100011021011 is 11012011000112.

It is not a de Polignac number, because 21100011021011 - 2²² = 21100006826707 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 21100011020983 and 21100011021001.

It is not an unprimeable number, because it can be changed into a prime (21100011021911) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3672118781 + ... + 3672124526.

It is an arithmetic number, because the mean of its divisors is an integer number (2015994788046).

Almost surely, 2^{21100011021011} is an apocalyptic number.

21100011021011 is a deficient number, since it is larger than the sum of its proper divisors (3091926435541).

21100011021011 is a wasteful number, since it uses less digits than its factorization.

21100011021011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7344243350 (or 7344243337 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 21100011021011 its reverse (11012011000112), we get a palindrome (32112022021123).

The spelling of 21100011021011 in words is "twenty-one trillion, one hundred billion, eleven million, twenty-one thousand, eleven".