20214233100 has 288 divisors, whose sum is σ = 68260631040. Its totient is φ = 5121895680.

The previous prime is 20214233033. The next prime is 20214233107. The reversal of 20214233100 is 133241202.

It is a super-2 number, since 2×20214233100² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (20214233107) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10121302 + ... + 10123298.

It is an arithmetic number, because the mean of its divisors is an integer number (237016080).

Almost surely, 2^20214233100 is an apocalyptic number.

20214233100 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 20214233100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34130315520).

20214233100 is an abundant number, since it is smaller than the sum of its proper divisors (48046397940).

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

20214233100 is a wasteful number, since it uses less digits than its factorization.

20214233100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2206 (or 2193 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 20214233100 its reverse (133241202), we get a palindrome (20347474302).

The spelling of 20214233100 in words is "twenty billion, two hundred fourteen million, two hundred thirty-three thousand, one hundred".