2211012100 has 144 divisors (see below), whose sum is σ = 5397529536. Its totient is φ = 779328000.

The previous prime is 2211012091. The next prime is 2211012143. The reversal of 2211012100 is 12101122.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5569102 + ... + 5569498.

It is an arithmetic number, because the mean of its divisors is an integer number (37482844).

Almost surely, 2^2211012100 is an apocalyptic number.

2211012100 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 2211012100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2698764768).

2211012100 is an abundant number, since it is smaller than the sum of its proper divisors (3186517436).

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

2211012100 is a wasteful number, since it uses less digits than its factorization.

2211012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566 (or 559 counting only the distinct ones).

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

The square root of 2211012100 is about 47021.4004470305. The cubic root of 2211012100 is about 1302.7578730091.

Adding to 2211012100 its reverse (12101122), we get a palindrome (2223113222).

The spelling of 2211012100 in words is "two billion, two hundred eleven million, twelve thousand, one hundred".