1020001002012 has 144 divisors (see below), whose sum is σ = 2610752062464. Its totient is φ = 335761200000.

The previous prime is 1020001002011. The next prime is 1020001002079. The reversal of 1020001002012 is 2102001000201.

1020001002012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1020001002012³ (a number of 37 digits) contains 333 as substring.

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 = 1020001001985 and 1020001002003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020001002011) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 704906673 + ... + 704908119.

It is an arithmetic number, because the mean of its divisors is an integer number (18130222656).

Almost surely, 2^{1020001002012} is an apocalyptic number.

1020001002012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1020001002012 is an abundant number, since it is smaller than the sum of its proper divisors (1590751060452).

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

1020001002012 is a wasteful number, since it uses less digits than its factorization.

1020001002012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2320 (or 2315 counting only the distinct ones).

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

Adding to 1020001002012 its reverse (2102001000201), we get a palindrome (3122002002213).

The spelling of 1020001002012 in words is "one trillion, twenty billion, one million, two thousand, twelve".