1002120010001 has 16 divisors (see below), whose sum is σ = 1113918049728. Its totient is φ = 893773483200.

The previous prime is 1002120009971. The next prime is 1002120010007. The reversal of 1002120010001 is 1000100212001.

It is a cyclic number.

It is not a de Polignac number, because 1002120010001 - 2¹⁰ = 1002120008977 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1002120010007) 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 15 ways as a sum of consecutive naturals, for example, 11418650 + ... + 11506076.

It is an arithmetic number, because the mean of its divisors is an integer number (69619878108).

Almost surely, 2^{1002120010001} is an apocalyptic number.

1002120010001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1002120010001 is a deficient number, since it is larger than the sum of its proper divisors (111798039727).

1002120010001 is a wasteful number, since it uses less digits than its factorization.

1002120010001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107152.

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 1002120010001 its reverse (1000100212001), we get a palindrome (2002220222002).

The spelling of 1002120010001 in words is "one trillion, two billion, one hundred twenty million, ten thousand, one".