3102001121100 has 576 divisors, whose sum is σ = 11191833676800. Its totient is φ = 647250186240.

The previous prime is 3102001121059. The next prime is 3102001121201. The reversal of 3102001121100 is 11211002013.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 644502294 + ... + 644507106.

It is an arithmetic number, because the mean of its divisors is an integer number (19430266800).

Almost surely, 2^{3102001121100} is an apocalyptic number.

3102001121100 is a gapful number since it is divisible by the number (30) 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 3102001121100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5595916838400).

3102001121100 is an abundant number, since it is smaller than the sum of its proper divisors (8089832555700).

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

3102001121100 is a wasteful number, since it uses less digits than its factorization.

3102001121100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5442 (or 5435 counting only the distinct ones).

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

Adding to 3102001121100 its reverse (11211002013), we get a palindrome (3113212123113).

The spelling of 3102001121100 in words is "three trillion, one hundred two billion, one million, one hundred twenty-one thousand, one hundred".