21122211011202 has 256 divisors, whose sum is σ = 55983616819200. Its totient is φ = 5777656128000.

The previous prime is 21122211011197. The next prime is 21122211011207. The reversal of 21122211011202 is 20211011222112.

21122211011202 is a `hidden beast` number, since 211 + 222 + 110 + 1 + 120 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (21122211011197) and next prime (21122211011207).

It is a super-2 number, since 2×21122211011202² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (21122211011207) 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, 407431999 + ... + 407483837.

It is an arithmetic number, because the mean of its divisors is an integer number (218686003200).

Almost surely, 2^{21122211011202} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21122211011202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27991808409600).

21122211011202 is an abundant number, since it is smaller than the sum of its proper divisors (34861405807998).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21122211011202 is a wasteful number, since it uses less digits than its factorization.

21122211011202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52390 (or 52384 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 21122211011202 its reverse (20211011222112), we get a palindrome (41333222233314).

The spelling of 21122211011202 in words is "twenty-one trillion, one hundred twenty-two billion, two hundred eleven million, eleven thousand, two hundred two".