10002120201012 has 24 divisors (see below), whose sum is σ = 23338334126016. Its totient is φ = 3334032401728.

The previous prime is 10002120201001. The next prime is 10002120201041. The reversal of 10002120201012 is 21010202120001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 7383928 + ... + 8632880.

It is an arithmetic number, because the mean of its divisors is an integer number (972430588584).

Almost surely, 2^{10002120201012} is an apocalyptic number.

10002120201012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10002120201012 is an abundant number, since it is smaller than the sum of its proper divisors (13336213925004).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10002120201012 is a wasteful number, since it uses less digits than its factorization.

10002120201012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1916327 (or 1916325 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10002120201012 its reverse (21010202120001), we get a palindrome (31012322321013).

The spelling of 10002120201012 in words is "ten trillion, two billion, one hundred twenty million, two hundred one thousand, twelve".