211122020122002 has 96 divisors (see below), whose sum is σ = 520816908119040. Its totient is φ = 61182461614560.

The previous prime is 211122020121967. The next prime is 211122020122007. The reversal of 211122020122002 is 200221020221112.

It is a happy number.

211122020122002 is a `hidden beast` number, since 21 + 1 + 1 + 220 + 201 + 220 + 0 + 2 = 666.

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 (211122020122007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17952949 + ... + 27286487.

It is an arithmetic number, because the mean of its divisors is an integer number (5425176126240).

Almost surely, 2^{211122020122002} is an apocalyptic number.

211122020122002 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 211122020122002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260408454059520).

211122020122002 is an abundant number, since it is smaller than the sum of its proper divisors (309694887997038).

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

211122020122002 is a wasteful number, since it uses less digits than its factorization.

211122020122002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9338548 (or 9338545 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 211122020122002 its reverse (200221020221112), we get a palindrome (411343040343114).

It can be divided in two parts, 2111220 and 20122002, that added together give a palindrome (22233222).

The spelling of 211122020122002 in words is "two hundred eleven trillion, one hundred twenty-two billion, twenty million, one hundred twenty-two thousand, two".