10100221001100 has 72 divisors (see below), whose sum is σ = 32470340115920. Its totient is φ = 2693392266240.

The previous prime is 10100221001071. The next prime is 10100221001119. The reversal of 10100221001100 is 110012200101.

It is a happy number.

10100221001100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×10100221001100³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 23 ways as a sum of consecutive naturals, for example, 1870408597 + ... + 1870413996.

Almost surely, 2^{10100221001100} is an apocalyptic number.

10100221001100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10100221001100 is an abundant number, since it is smaller than the sum of its proper divisors (22370119114820).

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

10100221001100 is a wasteful number, since it uses less digits than its factorization.

10100221001100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3740822616 (or 3740822603 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10100221001100 its reverse (110012200101), we get a palindrome (10210233201201).

The spelling of 10100221001100 in words is "ten trillion, one hundred billion, two hundred twenty-one million, one thousand, one hundred".