10020211121100 has 576 divisors, whose sum is σ = 30626191798272. Its totient is φ = 2527365120000.

The previous prime is 10020211121003. The next prime is 10020211121117. The reversal of 10020211121100 is 112111202001.

It is a super-2 number, since 2×10020211121100² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 11425553862 + ... + 11425554738.

It is an arithmetic number, because the mean of its divisors is an integer number (53170471872).

Almost surely, 2^{10020211121100} is an apocalyptic number.

10020211121100 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 10020211121100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15313095899136).

10020211121100 is an abundant number, since it is smaller than the sum of its proper divisors (20605980677172).

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

10020211121100 is a wasteful number, since it uses less digits than its factorization.

10020211121100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1226 (or 1219 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10020211121100 its reverse (112111202001), we get a palindrome (10132322323101).

The spelling of 10020211121100 in words is "ten trillion, twenty billion, two hundred eleven million, one hundred twenty-one thousand, one hundred".