2071157100 has 144 divisors (see below), whose sum is σ = 6108275712. Its totient is φ = 541751040.

The previous prime is 2071157087. The next prime is 2071157113. The reversal of 2071157100 is 17511702.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2071157087) and next prime (2071157113).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5552514 + ... + 5552886.

Almost surely, 2^2071157100 is an apocalyptic number.

2071157100 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 2071157100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3054137856).

2071157100 is an abundant number, since it is smaller than the sum of its proper divisors (4037118612).

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

2071157100 is a wasteful number, since it uses less digits than its factorization.

2071157100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 696 (or 689 counting only the distinct ones).

The product of its (nonzero) digits is 490, while the sum is 24.

The square root of 2071157100 is about 45509.9670401990. The cubic root of 2071157100 is about 1274.6893206889.

Adding to 2071157100 its reverse (17511702), we get a palindrome (2088668802).

The spelling of 2071157100 in words is "two billion, seventy-one million, one hundred fifty-seven thousand, one hundred".