2010022133100 has 72 divisors (see below), whose sum is σ = 5817177551808. Its totient is φ = 535866408000.

The previous prime is 2010022133099. The next prime is 2010022133101. The reversal of 2010022133100 is 13312200102.

It is an interprime number because it is at equal distance from previous prime (2010022133099) and next prime (2010022133101).

It is a super-2 number, since 2×2010022133100² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2010022133100.

It is not an unprimeable number, because it can be changed into a prime (2010022133101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 285387 + ... + 2025213.

It is an arithmetic number, because the mean of its divisors is an integer number (80794132664).

Almost surely, 2^{2010022133100} is an apocalyptic number.

2010022133100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2010022133100 is an abundant number, since it is smaller than the sum of its proper divisors (3807155418708).

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

2010022133100 is a wasteful number, since it uses less digits than its factorization.

2010022133100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1743695 (or 1743688 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 2010022133100 its reverse (13312200102), we get a palindrome (2023334333202).

The spelling of 2010022133100 in words is "two trillion, ten billion, twenty-two million, one hundred thirty-three thousand, one hundred".