21100101211000 has 64 divisors (see below), whose sum is σ = 56427699257280. Its totient is φ = 7234320412800.

The previous prime is 21100101210931. The next prime is 21100101211019. The reversal of 21100101211000 is 11210100112.

It is a super-2 number, since 2×21100101211000² (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 a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1507143087 + ... + 1507157086.

It is an arithmetic number, because the mean of its divisors is an integer number (881682800895).

Almost surely, 2^{21100101211000} is an apocalyptic number.

21100101211000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21100101211000 is an abundant number, since it is smaller than the sum of its proper divisors (35327598046280).

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

21100101211000 is a wasteful number, since it uses less digits than its factorization.

21100101211000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3014300201 (or 3014300187 counting only the distinct ones).

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

Adding to 21100101211000 its reverse (11210100112), we get a palindrome (21111311311112).

The spelling of 21100101211000 in words is "twenty-one trillion, one hundred billion, one hundred one million, two hundred eleven thousand".