21211112102202 has 128 divisors (see below), whose sum is σ = 51955082035200. Its totient is φ = 6361086816000.

The previous prime is 21211112102197. The next prime is 21211112102209. The reversal of 21211112102202 is 20220121111212.

21211112102202 is a `hidden beast` number, since 2 + 121 + 111 + 210 + 220 + 2 = 666.

It is a super-2 number, since 2×21211112102202² (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 (21211112102209) 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, 29900049 + ... + 30601227.

It is an arithmetic number, because the mean of its divisors is an integer number (405899078400).

Almost surely, 2^{21211112102202} is an apocalyptic number.

21211112102202 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 21211112102202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25977541017600).

21211112102202 is an abundant number, since it is smaller than the sum of its proper divisors (30743969932998).

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

21211112102202 is a wasteful number, since it uses less digits than its factorization.

21211112102202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 701729 (or 701723 counting only the distinct ones).

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

Adding to 21211112102202 its reverse (20220121111212), we get a palindrome (41431233213414).

The spelling of 21211112102202 in words is "twenty-one trillion, two hundred eleven billion, one hundred twelve million, one hundred two thousand, two hundred two".