10002120213012 has 12 divisors (see below), whose sum is σ = 23338280497056. Its totient is φ = 3334040071000.

The previous prime is 10002120212927. The next prime is 10002120213091. The reversal of 10002120213012 is 21031202120001.

It is a tau number, because it is divible by the number of its divisors (12).

It is a super-2 number, since 2×10002120213012² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10002120212982 and 10002120213000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 416755008864 + ... + 416755008887.

It is an arithmetic number, because the mean of its divisors is an integer number (1944856708088).

Almost surely, 2^{10002120213012} is an apocalyptic number.

10002120213012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10002120213012 is an abundant number, since it is smaller than the sum of its proper divisors (13336160284044).

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

10002120213012 is a wasteful number, since it uses less digits than its factorization.

10002120213012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 833510017758 (or 833510017756 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 10002120213012 its reverse (21031202120001), we get a palindrome (31033322333013).

The spelling of 10002120213012 in words is "ten trillion, two billion, one hundred twenty million, two hundred thirteen thousand, twelve".