3211121100 has 72 divisors (see below), whose sum is σ = 10135476288. Its totient is φ = 778452800.

The previous prime is 3211121071. The next prime is 3211121101. The reversal of 3211121100 is 11211123.

It is a super-2 number, since 2×3211121100² = 20622597437730420000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (3211121101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 483234 + ... + 489833.

It is an arithmetic number, because the mean of its divisors is an integer number (140770504).

Almost surely, 2^3211121100 is an apocalyptic number.

3211121100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3211121100 is an abundant number, since it is smaller than the sum of its proper divisors (6924355188).

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

3211121100 is a wasteful number, since it uses less digits than its factorization.

3211121100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 973095 (or 973088 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

The square root of 3211121100 is about 56666.7548038530. The cubic root of 3211121100 is about 1475.3177291209.

Adding to 3211121100 its reverse (11211123), we get a palindrome (3222332223).

The spelling of 3211121100 in words is "three billion, two hundred eleven million, one hundred twenty-one thousand, one hundred".