10021210221100 has 162 divisors, whose sum is σ = 24852056358780. Its totient is φ = 3505392858240.

The previous prime is 10021210221013. The next prime is 10021210221193. The reversal of 10021210221100 is 112201212001.

It is a super-2 number, since 2×10021210221100² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

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 53 ways as a sum of consecutive naturals, for example, 5279611 + ... + 6922189.

Almost surely, 2^{10021210221100} is an apocalyptic number.

10021210221100 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 10021210221100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12426028179390).

10021210221100 is an abundant number, since it is smaller than the sum of its proper divisors (14830846137680).

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

10021210221100 is a wasteful number, since it uses less digits than its factorization.

10021210221100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1642657 (or 1642618 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 10021210221100 its reverse (112201212001), we get a palindrome (10133411433101).

Subtracting from 10021210221100 its reverse (112201212001), we obtain a palindrome (9909009009099).

The spelling of 10021210221100 in words is "ten trillion, twenty-one billion, two hundred ten million, two hundred twenty-one thousand, one hundred".