2100122100 has 144 divisors (see below), whose sum is σ = 6768316800. Its totient is φ = 558639360.

The previous prime is 2100122077. The next prime is 2100122119. The reversal of 2100122100 is 12210012.

It is a Harshad number since it is a multiple of its sum of digits (9).

2100122100 is a modest number, since divided by 122100 gives 2100 as remainder.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1535617 + ... + 1536983.

It is an arithmetic number, because the mean of its divisors is an integer number (47002200).

Almost surely, 2^2100122100 is an apocalyptic number.

2100122100 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 2100122100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3384158400).

2100122100 is an abundant number, since it is smaller than the sum of its proper divisors (4668194700).

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

2100122100 is a wasteful number, since it uses less digits than its factorization.

2100122100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1959 (or 1946 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 2100122100 is about 45827.0891504141. The cubic root of 2100122100 is about 1280.6039833503.

Adding to 2100122100 its reverse (12210012), we get a palindrome (2112332112).

The spelling of 2100122100 in words is "two billion, one hundred million, one hundred twenty-two thousand, one hundred".