2101319100 has 108 divisors (see below), whose sum is σ = 6872903856. Its totient is φ = 535983360.

The previous prime is 2101319081. The next prime is 2101319107. The reversal of 2101319100 is 19131012.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2101319107) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 30057 + ... + 71456.

Almost surely, 2^2101319100 is an apocalyptic number.

2101319100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2101319100 is an abundant number, since it is smaller than the sum of its proper divisors (4771584756).

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

2101319100 is a wasteful number, since it uses less digits than its factorization.

2101319100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101556 (or 101546 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

The square root of 2101319100 is about 45840.1472510724. The cubic root of 2101319100 is about 1280.8472377512.

It can be divided in two parts, 2101 and 319100, that added together give a triangular number (321201 = T₈₀₁).

The spelling of 2101319100 in words is "two billion, one hundred one million, three hundred nineteen thousand, one hundred".