10021112201100 has 3888 divisors, whose sum is σ = 44478196900704. Its totient is φ = 1726960435200.

The previous prime is 10021112201077. The next prime is 10021112201131. The reversal of 10021112201100 is 110221112001.

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 1295 ways as a sum of consecutive naturals, for example, 189077588674 + ... + 189077588726.

It is an arithmetic number, because the mean of its divisors is an integer number (11439865458).

Almost surely, 2^{10021112201100} is an apocalyptic number.

10021112201100 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 10021112201100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22239098450352).

10021112201100 is an abundant number, since it is smaller than the sum of its proper divisors (34457084699604).

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

10021112201100 is a wasteful number, since it uses less digits than its factorization.

10021112201100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 148 counting only the distinct ones).

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

Adding to 10021112201100 its reverse (110221112001), we get a palindrome (10131333313101).

The spelling of 10021112201100 in words is "ten trillion, twenty-one billion, one hundred twelve million, two hundred one thousand, one hundred".