10012122102000 has 80 divisors (see below), whose sum is σ = 32279081676192. Its totient is φ = 2669899225600.

The previous prime is 10012122101981. The next prime is 10012122102019. The reversal of 10012122102000 is 20122121001.

It is an interprime number because it is at equal distance from previous prime (10012122101981) and next prime (10012122102019).

It is a tau number, because it is divible by the number of its divisors (80).

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 polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 834337509 + ... + 834349508.

Almost surely, 2^{10012122102000} is an apocalyptic number.

10012122102000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10012122102000 is an abundant number, since it is smaller than the sum of its proper divisors (22266959574192).

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

10012122102000 is a wasteful number, since it uses less digits than its factorization.

10012122102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1668687043 (or 1668687027 counting only the distinct ones).

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

Adding to 10012122102000 its reverse (20122121001), we get a palindrome (10032244223001).

The spelling of 10012122102000 in words is "ten trillion, twelve billion, one hundred twenty-two million, one hundred two thousand".