20120202100 has 72 divisors (see below), whose sum is σ = 46264960728. Its totient is φ = 7568793600.

The previous prime is 20120202097. The next prime is 20120202101. The reversal of 20120202100 is 120202102.

It can be written as a sum of positive squares in 12 ways, for example, as 3013131664 + 17107070436 = 54892^2 + 130794^2 .

It is a super-3 number, since 3×20120202100³ (a number of 32 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20120202101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2636290 + ... + 2643910.

It is an arithmetic number, because the mean of its divisors is an integer number (642568899).

Almost surely, 2^20120202100 is an apocalyptic number.

20120202100 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 20120202100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23132480364).

20120202100 is an abundant number, since it is smaller than the sum of its proper divisors (26144758628).

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

20120202100 is a wasteful number, since it uses less digits than its factorization.

20120202100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9205 (or 9198 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 20120202100 its reverse (120202102), we get a palindrome (20240404202).

The spelling of 20120202100 in words is "twenty billion, one hundred twenty million, two hundred two thousand, one hundred".