211022022112100 has 108 divisors (see below), whose sum is σ = 469741285479900. Its totient is φ = 82282971110400.

The previous prime is 211022022112087. The next prime is 211022022112123. The reversal of 211022022112100 is 1211220220112.

It can be written as a sum of positive squares in 18 ways, for example, as 206085777953344 + 4936244158756 = 14355688^2 + 2221766^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 206084186 + ... + 207105614.

Almost surely, 2^{211022022112100} is an apocalyptic number.

211022022112100 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 211022022112100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234870642739950).

211022022112100 is an abundant number, since it is smaller than the sum of its proper divisors (258719263367800).

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

211022022112100 is a wasteful number, since it uses less digits than its factorization.

211022022112100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1022754 (or 1022706 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 211022022112100 its reverse (1211220220112), we get a palindrome (212233242332212).

The spelling of 211022022112100 in words is "two hundred eleven trillion, twenty-two billion, twenty-two million, one hundred twelve thousand, one hundred".