10021001001100 has 72 divisors (see below), whose sum is σ = 22691738448288. Its totient is φ = 3834002726400.

The previous prime is 10021001001073. The next prime is 10021001001113. The reversal of 10021001001100 is 110010012001.

It is a super-2 number, since 2×10021001001100² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 119974552 + ... + 120058048.

It is an arithmetic number, because the mean of its divisors is an integer number (315163034004).

Almost surely, 2^{10021001001100} is an apocalyptic number.

10021001001100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10021001001100 is an abundant number, since it is smaller than the sum of its proper divisors (12670737447188).

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

10021001001100 is a wasteful number, since it uses less digits than its factorization.

10021001001100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135715 (or 135708 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 10021001001100 its reverse (110010012001), we get a palindrome (10131011013101).

The spelling of 10021001001100 in words is "ten trillion, twenty-one billion, one million, one thousand, one hundred".