211122100022100 has 144 divisors (see below), whose sum is σ = 627403701801408. Its totient is φ = 54773458882560.

The previous prime is 211122100022033. The next prime is 211122100022107. The reversal of 211122100022100 is 1220001221112.

It is a super-2 number, since 2×211122100022100² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 211122100022100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211122100022107) 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, 146546884 + ... + 147980516.

Almost surely, 2^{211122100022100} is an apocalyptic number.

211122100022100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211122100022100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313701850900704).

211122100022100 is an abundant number, since it is smaller than the sum of its proper divisors (416281601779308).

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

211122100022100 is a wasteful number, since it uses less digits than its factorization.

211122100022100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1446954 (or 1446947 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 211122100022100 its reverse (1220001221112), we get a palindrome (212342101243212).

The spelling of 211122100022100 in words is "two hundred eleven trillion, one hundred twenty-two billion, one hundred million, twenty-two thousand, one hundred".