2631211122100 has 288 divisors, whose sum is σ = 6669573120000. Its totient is φ = 890935718400.

The previous prime is 2631211122097. The next prime is 2631211122173. The reversal of 2631211122100 is 12211121362.

2631211122100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2631211122100² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 378098421 + ... + 378105379.

It is an arithmetic number, because the mean of its divisors is an integer number (23158240000).

Almost surely, 2^{2631211122100} is an apocalyptic number.

2631211122100 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 2631211122100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3334786560000).

2631211122100 is an abundant number, since it is smaller than the sum of its proper divisors (4038361997900).

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

2631211122100 is a wasteful number, since it uses less digits than its factorization.

2631211122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7311 (or 7304 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

Adding to 2631211122100 its reverse (12211121362), we get a palindrome (2643422243462).

The spelling of 2631211122100 in words is "two trillion, six hundred thirty-one billion, two hundred eleven million, one hundred twenty-two thousand, one hundred".