10001220101100 has 90 divisors (see below), whose sum is σ = 32420004494724. Its totient is φ = 2666992024800.

The previous prime is 10001220101057. The next prime is 10001220101101. The reversal of 10001220101100 is 110102210001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (90).

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

It is not an unprimeable number, because it can be changed into a prime (10001220101101) by changing a digit.

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 29 ways as a sum of consecutive naturals, for example, 617351166 + ... + 617367365.

Almost surely, 2^{10001220101100} is an apocalyptic number.

10001220101100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10001220101100 is an abundant number, since it is smaller than the sum of its proper divisors (22418784393624).

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

10001220101100 is a wasteful number, since it uses less digits than its factorization.

10001220101100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1234718557 (or 1234718541 counting only the distinct ones).

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

Adding to 10001220101100 its reverse (110102210001), we get a palindrome (10111322311101).

The spelling of 10001220101100 in words is "ten trillion, one billion, two hundred twenty million, one hundred one thousand, one hundred".