1002111022101 has 24 divisors (see below), whose sum is σ = 1563601838400. Its totient is φ = 569205904512.

The previous prime is 1002111022079. The next prime is 1002111022117. The reversal of 1002111022101 is 1012201112001.

It is not a de Polignac number, because 1002111022101 - 2¹⁰ = 1002111021077 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002111023101) 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 23 ways as a sum of consecutive naturals, for example, 20385876 + ... + 20434973.

It is an arithmetic number, because the mean of its divisors is an integer number (65150076600).

Almost surely, 2^{1002111022101} is an apocalyptic number.

It is an amenable number.

1002111022101 is a deficient number, since it is larger than the sum of its proper divisors (561490816299).

1002111022101 is a wasteful number, since it uses less digits than its factorization.

1002111022101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40821033 (or 40821026 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1002111022101 its reverse (1012201112001), we get a palindrome (2014312134102).

The spelling of 1002111022101 in words is "one trillion, two billion, one hundred eleven million, twenty-two thousand, one hundred one".