2111220100 has 54 divisors (see below), whose sum is σ = 5035725002. Its totient is φ = 767712000.

The previous prime is 2111220091. The next prime is 2111220109. The reversal of 2111220100 is 10221112.

It is an interprime number because it is at equal distance from previous prime (2111220091) and next prime (2111220109).

It can be written as a sum of positive squares in 3 ways, for example, as 73239364 + 2037980736 = 8558^2 + 45144^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (2111220109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 75141 + ... + 99340.

Almost surely, 2^2111220100 is an apocalyptic number.

2111220100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2111220100 is an abundant number, since it is smaller than the sum of its proper divisors (2924504902).

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

2111220100 is a wasteful number, since it uses less digits than its factorization.

2111220100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174517 (or 174499 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 2111220100 is about 45948.0151910831. The cubic root of 2111220100 is about 1282.8557860385.

Adding to 2111220100 its reverse (10221112), we get a palindrome (2121441212).

The spelling of 2111220100 in words is "two billion, one hundred eleven million, two hundred twenty thousand, one hundred".