10220011200 has 504 divisors, whose sum is σ = 42318907488. Its totient is φ = 2290728960.

The previous prime is 10220011189. The next prime is 10220011229. The reversal of 10220011200 is 211002201.

It is a tau number, because it is divible by the number of its divisors (504).

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5341444 + ... + 5343356.

Almost surely, 2^10220011200 is an apocalyptic number.

10220011200 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 10220011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21159453744).

10220011200 is an abundant number, since it is smaller than the sum of its proper divisors (32098896288).

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

10220011200 is a wasteful number, since it uses less digits than its factorization.

10220011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2001 (or 1983 counting only the distinct ones).

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

Adding to 10220011200 its reverse (211002201), we get a palindrome (10431013401).

It can be divided in two parts, 1022001 and 1200, that added together give a palindrome (1023201).

The spelling of 10220011200 in words is "ten billion, two hundred twenty million, eleven thousand, two hundred".