1010020012001 has 64 divisors (see below), whose sum is σ = 1361601024000. Its totient is φ = 723552134400.

The previous prime is 1010020011929. The next prime is 1010020012009. The reversal of 1010020012001 is 1002100200101.

It is a cyclic number.

It is not a de Polignac number, because 1010020012001 - 2³⁰ = 1008946270177 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1010020012001.

It is not an unprimeable number, because it can be changed into a prime (1010020012009) 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, 551621156 + ... + 551622986.

It is an arithmetic number, because the mean of its divisors is an integer number (21275016000).

Almost surely, 2^{1010020012001} is an apocalyptic number.

1010020012001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1010020012001 is a deficient number, since it is larger than the sum of its proper divisors (351581011999).

1010020012001 is a wasteful number, since it uses less digits than its factorization.

1010020012001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3790.

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 1010020012001 its reverse (1002100200101), we get a palindrome (2012120212102).

The spelling of 1010020012001 in words is "one trillion, ten billion, twenty million, twelve thousand, one".