100012201020 has 288 divisors, whose sum is σ = 320760760320. Its totient is φ = 25191129600.

The previous prime is 100012201001. The next prime is 100012201021. The reversal of 100012201020 is 20102210001.

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

It is a junction number, because it is equal to n+sod(n) for n = 100012200993 and 100012201011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100012201021) 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, 51261045 + ... + 51262995.

It is an arithmetic number, because the mean of its divisors is an integer number (1113752640).

Almost surely, 2^100012201020 is an apocalyptic number.

100012201020 is a gapful number since it is divisible by the number (10) 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 100012201020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160380380160).

100012201020 is an abundant number, since it is smaller than the sum of its proper divisors (220748559300).

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

100012201020 is a wasteful number, since it uses less digits than its factorization.

100012201020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2225 (or 2220 counting only the distinct ones).

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

Adding to 100012201020 its reverse (20102210001), we get a palindrome (120114411021).

The spelling of 100012201020 in words is "one hundred billion, twelve million, two hundred one thousand, twenty".