2022512100 has 288 divisors, whose sum is σ = 7143042816. Its totient is φ = 431308800.

The previous prime is 2022512077. The next prime is 2022512111. The reversal of 2022512100 is 12152202.

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 2022512100.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6461544 + ... + 6461856.

It is an arithmetic number, because the mean of its divisors is an integer number (24802232).

Almost surely, 2^2022512100 is an apocalyptic number.

2022512100 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 2022512100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3571521408).

2022512100 is an abundant number, since it is smaller than the sum of its proper divisors (5120530716).

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

2022512100 is a wasteful number, since it uses less digits than its factorization.

2022512100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535 (or 528 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 2022512100 is about 44972.3481708483. The cubic root of 2022512100 is about 1264.6306680601.

Adding to 2022512100 its reverse (12152202), we get a palindrome (2034664302).

The spelling of 2022512100 in words is "two billion, twenty-two million, five hundred twelve thousand, one hundred".