10200120012 has 18 divisors (see below), whose sum is σ = 25783636788. Its totient is φ = 3400039992.

The previous prime is 10200120001. The next prime is 10200120013. The reversal of 10200120012 is 21002100201.

It is a tau number, because it is divible by the number of its divisors (18).

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

It is a junction number, because it is equal to n+sod(n) for n = 10200119976 and 10200120003.

It is not an unprimeable number, because it can be changed into a prime (10200120013) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 141668298 + ... + 141668369.

It is an arithmetic number, because the mean of its divisors is an integer number (1432424266).

Almost surely, 2^10200120012 is an apocalyptic number.

10200120012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10200120012 is an abundant number, since it is smaller than the sum of its proper divisors (15583516776).

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

10200120012 is a wasteful number, since it uses less digits than its factorization.

10200120012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283336677 (or 283336672 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10200120012 its reverse (21002100201), we get a palindrome (31202220213).

The spelling of 10200120012 in words is "ten billion, two hundred million, one hundred twenty thousand, twelve".