10020020201100 has 1440 divisors, whose sum is σ = 41838369284096. Its totient is φ = 2017554739200.

The previous prime is 10020020201089. The next prime is 10020020201141. The reversal of 10020020201100 is 110202002001.

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 479 ways as a sum of consecutive naturals, for example, 1668054297 + ... + 1668060303.

Almost surely, 2^{10020020201100} is an apocalyptic number.

10020020201100 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 10020020201100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20919184642048).

10020020201100 is an abundant number, since it is smaller than the sum of its proper divisors (31818349082996).

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

10020020201100 is a wasteful number, since it uses less digits than its factorization.

10020020201100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6157 (or 6141 counting only the distinct ones).

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

Adding to 10020020201100 its reverse (110202002001), we get a palindrome (10130222203101).

The spelling of 10020020201100 in words is "ten trillion, twenty billion, twenty million, two hundred one thousand, one hundred".