1001021100111 has 24 divisors (see below), whose sum is σ = 1455514744320. Its totient is φ = 662931588816.

The previous prime is 1001021100067. The next prime is 1001021100119. The reversal of 1001021100111 is 1110011201001.

It is not a de Polignac number, because 1001021100111 - 2⁶ = 1001021100047 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 1001021100093 and 1001021100102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001021100119) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 403260 + ... + 1471278.

It is an arithmetic number, because the mean of its divisors is an integer number (60646447680).

Almost surely, 2^{1001021100111} is an apocalyptic number.

1001021100111 is a deficient number, since it is larger than the sum of its proper divisors (454493644209).

1001021100111 is a wasteful number, since it uses less digits than its factorization.

1001021100111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1068715 (or 1068712 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 1001021100111 its reverse (1110011201001), we get a palindrome (2111032301112).

The spelling of 1001021100111 in words is "one trillion, one billion, twenty-one million, one hundred thousand, one hundred eleven".