1002121210101 has 32 divisors (see below), whose sum is σ = 1459270794240. Its totient is φ = 606663302400.

The previous prime is 1002121210093. The next prime is 1002121210117. The reversal of 1002121210101 is 1010121212001.

It is not a de Polignac number, because 1002121210101 - 2³ = 1002121210093 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002121210141) 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, 205729696 + ... + 205734566.

It is an arithmetic number, because the mean of its divisors is an integer number (45602212320).

Almost surely, 2^{1002121210101} is an apocalyptic number.

1002121210101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1002121210101 is a deficient number, since it is larger than the sum of its proper divisors (457149584139).

1002121210101 is a wasteful number, since it uses less digits than its factorization.

1002121210101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10617.

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

Adding to 1002121210101 its reverse (1010121212001), we get a palindrome (2012242422102).

The spelling of 1002121210101 in words is "one trillion, two billion, one hundred twenty-one million, two hundred ten thousand, one hundred one".