2100077100 has 324 divisors, whose sum is σ = 7525502712. Its totient is φ = 485760000.

The previous prime is 2100077071. The next prime is 2100077159. The reversal of 2100077100 is 17700012.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 5236900 + ... + 5237300.

Almost surely, 2^2100077100 is an apocalyptic number.

2100077100 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 2100077100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3762751356).

2100077100 is an abundant number, since it is smaller than the sum of its proper divisors (5425425612).

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

2100077100 is a wasteful number, since it uses less digits than its factorization.

2100077100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 98, while the sum is 18.

The square root of 2100077100 is about 45826.5981718041. The cubic root of 2100077100 is about 1280.5948366455.

Adding to 2100077100 its reverse (17700012), we get a palindrome (2117777112).

The spelling of 2100077100 in words is "two billion, one hundred million, seventy-seven thousand, one hundred".