1012020101001 has 60 divisors (see below), whose sum is σ = 1893882239172. Its totient is φ = 533812773312.

The previous prime is 1012020100997. The next prime is 1012020101063. The reversal of 1012020101001 is 1001010202101.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 247705290000 + 764314811001 = 497700^2 + 874251^2 .

It is not a de Polignac number, because 1012020101001 - 2² = 1012020100997 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 (1012020101501) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 9755370 + ... + 9858563.

Almost surely, 2^{1012020101001} is an apocalyptic number.

It is an amenable number.

1012020101001 is a deficient number, since it is larger than the sum of its proper divisors (881862138171).

1012020101001 is a wasteful number, since it uses less digits than its factorization.

1012020101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19613972 (or 19613956 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1012020101001 its reverse (1001010202101), we get a palindrome (2013030303102).

The spelling of 1012020101001 in words is "one trillion, twelve billion, twenty million, one hundred one thousand, one".