21011201101000 has 64 divisors (see below), whose sum is σ = 53635866111360. Its totient is φ = 7640436760000.

The previous prime is 21011201100943. The next prime is 21011201101001. The reversal of 21011201101000 is 10110211012.

It is a super-2 number, since 2×21011201101000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (21011201101001) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 955043596 + ... + 955065595.

It is an arithmetic number, because the mean of its divisors is an integer number (838060407990).

Almost surely, 2^{21011201101000} is an apocalyptic number.

21011201101000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21011201101000 is an abundant number, since it is smaller than the sum of its proper divisors (32624665010360).

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

21011201101000 is a wasteful number, since it uses less digits than its factorization.

21011201101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1910109223 (or 1910109209 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 21011201101000 its reverse (10110211012), we get a palindrome (21021311312012).

The spelling of 21011201101000 in words is "twenty-one trillion, eleven billion, two hundred one million, one hundred one thousand".