2101420100 has 72 divisors (see below), whose sum is σ = 4936142400. Its totient is φ = 771914880.

The previous prime is 2101420081. The next prime is 2101420117. The reversal of 2101420100 is 10241012.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 254639 + ... + 262761.

Almost surely, 2^2101420100 is an apocalyptic number.

2101420100 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 2101420100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2468071200).

2101420100 is an abundant number, since it is smaller than the sum of its proper divisors (2834722300).

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

2101420100 is a wasteful number, since it uses less digits than its factorization.

2101420100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8349 (or 8342 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 2101420100 is about 45841.2488922368. The cubic root of 2101420100 is about 1280.8677587497.

Adding to 2101420100 its reverse (10241012), we get a palindrome (2111661112).

It can be divided in two parts, 21014 and 20100, that added together give a palindrome (41114).

The spelling of 2101420100 in words is "two billion, one hundred one million, four hundred twenty thousand, one hundred".