1020012020001 has 64 divisors (see below), whose sum is σ = 1638006935040. Its totient is φ = 623602264320.

The previous prime is 1020012019993. The next prime is 1020012020017. The reversal of 1020012020001 is 1000202100201.

1020012020001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1020012020001 - 2³ = 1020012019993 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (1020092020001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 91746895 + ... + 91758011.

It is an arithmetic number, because the mean of its divisors is an integer number (25593858360).

Almost surely, 2^{1020012020001} is an apocalyptic number.

It is an amenable number.

1020012020001 is a deficient number, since it is larger than the sum of its proper divisors (617994915039).

1020012020001 is a wasteful number, since it uses less digits than its factorization.

1020012020001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12823 (or 12817 counting only the distinct ones).

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

Adding to 1020012020001 its reverse (1000202100201), we get a palindrome (2020214120202).

The spelling of 1020012020001 in words is "one trillion, twenty billion, twelve million, twenty thousand, one".