2033010100 has 72 divisors (see below), whose sum is σ = 4839752736. Its totient is φ = 735120000.

The previous prime is 2033010061. The next prime is 2033010137. The reversal of 2033010100 is 10103302.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 193995 + ... + 204205.

It is an arithmetic number, because the mean of its divisors is an integer number (67218788).

Almost surely, 2^2033010100 is an apocalyptic number.

2033010100 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 2033010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2419876368).

2033010100 is an abundant number, since it is smaller than the sum of its proper divisors (2806742636).

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

2033010100 is a wasteful number, since it uses less digits than its factorization.

2033010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10417 (or 10410 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

The square root of 2033010100 is about 45088.9132714462. The cubic root of 2033010100 is about 1266.8149464763.

Adding to 2033010100 its reverse (10103302), we get a palindrome (2043113402).

The spelling of 2033010100 in words is "two billion, thirty-three million, ten thousand, one hundred".