21122100211011 has 64 divisors (see below), whose sum is σ = 28887312777216. Its totient is φ = 13724702208000.

The previous prime is 21122100210989. The next prime is 21122100211049. The reversal of 21122100211011 is 11011200122112.

It is a happy number.

It is not a de Polignac number, because 21122100211011 - 2⁶ = 21122100210947 is a prime.

It is a super-2 number, since 2×21122100211011² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (21122100211061) 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, 13796276316 + ... + 13796277846.

It is an arithmetic number, because the mean of its divisors is an integer number (451364262144).

Almost surely, 2^{21122100211011} is an apocalyptic number.

21122100211011 is a deficient number, since it is larger than the sum of its proper divisors (7765212566205).

21122100211011 is a wasteful number, since it uses less digits than its factorization.

21122100211011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3372.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 21122100211011 its reverse (11011200122112), we get a palindrome (32133300333123).

The spelling of 21122100211011 in words is "twenty-one trillion, one hundred twenty-two billion, one hundred million, two hundred eleven thousand, eleven".