2022101100 has 216 divisors, whose sum is σ = 6521926320. Its totient is φ = 523837440.

The previous prime is 2022101089. The next prime is 2022101111. The reversal of 2022101100 is 11012202.

It is an interprime number because it is at equal distance from previous prime (2022101089) and next prime (2022101111).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6000132 + ... + 6000468.

Almost surely, 2^2022101100 is an apocalyptic number.

2022101100 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 2022101100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3260963160).

2022101100 is an abundant number, since it is smaller than the sum of its proper divisors (4499825220).

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

2022101100 is a wasteful number, since it uses less digits than its factorization.

2022101100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 529 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 2022101100 is about 44967.7784641403. The cubic root of 2022101100 is about 1264.5449992828.

Adding to 2022101100 its reverse (11012202), we get a palindrome (2033113302).

The spelling of 2022101100 in words is "two billion, twenty-two million, one hundred one thousand, one hundred".