2551220100 has 432 divisors, whose sum is σ = 9634008384. Its totient is φ = 556416000.

The previous prime is 2551220093. The next prime is 2551220129. The reversal of 2551220100 is 10221552.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5533870 + ... + 5534330.

Almost surely, 2^2551220100 is an apocalyptic number.

2551220100 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 2551220100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4817004192).

2551220100 is an abundant number, since it is smaller than the sum of its proper divisors (7082788284).

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

2551220100 is a wasteful number, since it uses less digits than its factorization.

2551220100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 548 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 2551220100 is about 50509.6040372522. The cubic root of 2551220100 is about 1366.4150683649.

Adding to 2551220100 its reverse (10221552), we get a palindrome (2561441652).

The spelling of 2551220100 in words is "two billion, five hundred fifty-one million, two hundred twenty thousand, one hundred".