1001102121201 has 32 divisors (see below), whose sum is σ = 1649226716928. Its totient is φ = 525999144960.

The previous prime is 1001102121169. The next prime is 1001102121223. The reversal of 1001102121201 is 1021212011001.

It is not a de Polignac number, because 1001102121201 - 2⁵ = 1001102121169 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1001102121001) 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, 7064160 + ... + 7204481.

It is an arithmetic number, because the mean of its divisors is an integer number (51538334904).

Almost surely, 2^{1001102121201} is an apocalyptic number.

It is an amenable number.

1001102121201 is a deficient number, since it is larger than the sum of its proper divisors (648124595727).

1001102121201 is a wasteful number, since it uses less digits than its factorization.

1001102121201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14268921.

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

Adding to 1001102121201 its reverse (1021212011001), we get a palindrome (2022314132202).

It can be divided in two parts, 1001 and 102121201, that multiplied together give a palindrome (102223322201).

The spelling of 1001102121201 in words is "one trillion, one billion, one hundred two million, one hundred twenty-one thousand, two hundred one".