1002122101101 has 32 divisors (see below), whose sum is σ = 1549541306880. Its totient is φ = 569684232000.

The previous prime is 1002122101039. The next prime is 1002122101133. The reversal of 1002122101101 is 1011012212001.

It is not a de Polignac number, because 1002122101101 - 2⁶ = 1002122101037 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002122101301) 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 31 ways as a sum of consecutive naturals, for example, 7848955 + ... + 7975608.

It is an arithmetic number, because the mean of its divisors is an integer number (48423165840).

Almost surely, 2^{1002122101101} is an apocalyptic number.

1002122101101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1002122101101 is a deficient number, since it is larger than the sum of its proper divisors (547419205779).

1002122101101 is a wasteful number, since it uses less digits than its factorization.

1002122101101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15824697.

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

Adding to 1002122101101 its reverse (1011012212001), we get a palindrome (2013134313102).

It can be divided in two parts, 10021 and 22101101, that added together give a palindrome (22111122).

The spelling of 1002122101101 in words is "one trillion, two billion, one hundred twenty-two million, one hundred one thousand, one hundred one".