1002120100101 has 64 divisors (see below), whose sum is σ = 1585567146240. Its totient is φ = 624614215680.

The previous prime is 1002120100087. The next prime is 1002120100103. The reversal of 1002120100101 is 1010010212001.

It is a happy number.

It is not a de Polignac number, because 1002120100101 - 2²² = 1002115905797 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002120100103) 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 63 ways as a sum of consecutive naturals, for example, 2324245 + ... + 2721461.

It is an arithmetic number, because the mean of its divisors is an integer number (24774486660).

Almost surely, 2^{1002120100101} is an apocalyptic number.

It is an amenable number.

1002120100101 is a deficient number, since it is larger than the sum of its proper divisors (583447046139).

1002120100101 is a wasteful number, since it uses less digits than its factorization.

1002120100101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397363 (or 397357 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1002120100101 its reverse (1010010212001), we get a palindrome (2012130312102).

The spelling of 1002120100101 in words is "one trillion, two billion, one hundred twenty million, one hundred thousand, one hundred one".