1020264675201 has 16 divisors (see below), whose sum is σ = 1511650852800. Its totient is φ = 680110016544.

The previous prime is 1020264675161. The next prime is 1020264675217. The reversal of 1020264675201 is 1025764620201.

It is a happy number.

1020264675201 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 2 + 646 + 7 + 5 + 2 + 0 + 1 = 666.

1020264675201 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 1020264675201 - 2⁶ = 1020264675137 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1020264675281) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1563036 + ... + 2117453.

It is an arithmetic number, because the mean of its divisors is an integer number (94478178300).

Almost surely, 2^{1020264675201} is an apocalyptic number.

It is an amenable number.

1020264675201 is a deficient number, since it is larger than the sum of its proper divisors (491386177599).

1020264675201 is a wasteful number, since it uses less digits than its factorization.

1020264675201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3690765 (or 3690759 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 1020264675201 in words is "one trillion, twenty billion, two hundred sixty-four million, six hundred seventy-five thousand, two hundred one".