1020210000012 has 384 divisors, whose sum is σ = 3145734144000. Its totient is φ = 279895080960.

The previous prime is 1020210000011. The next prime is 1020210000013. The reversal of 1020210000012 is 2100000120201.

It is an interprime number because it is at equal distance from previous prime (1020210000011) and next prime (1020210000013).

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 = 1020209999949 and 1020210000003.

It is not an unprimeable number, because it can be changed into a prime (1020210000011) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 708970789 + ... + 708972227.

It is an arithmetic number, because the mean of its divisors is an integer number (8192016000).

Almost surely, 2^{1020210000012} is an apocalyptic number.

1020210000012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1020210000012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1572867072000).

1020210000012 is an abundant number, since it is smaller than the sum of its proper divisors (2125524143988).

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

1020210000012 is a wasteful number, since it uses less digits than its factorization.

1020210000012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1846 (or 1838 counting only the distinct ones).

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

Adding to 1020210000012 its reverse (2100000120201), we get a palindrome (3120210120213).

The spelling of 1020210000012 in words is "one trillion, twenty billion, two hundred ten million, twelve", and thus it is an aban number.