1012021011001 has 32 divisors (see below), whose sum is σ = 1358922297600. Its totient is φ = 727860314880.

The previous prime is 1012021010981. The next prime is 1012021011061. The reversal of 1012021011001 is 1001101202101.

It is a cyclic number.

It is not a de Polignac number, because 1012021011001 - 2²⁷ = 1011886793273 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1012021011061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12561435 + ... + 12641743.

It is an arithmetic number, because the mean of its divisors is an integer number (42466321800).

Almost surely, 2^{1012021011001} is an apocalyptic number.

1012021011001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1012021011001 is a deficient number, since it is larger than the sum of its proper divisors (346901286599).

1012021011001 is a wasteful number, since it uses less digits than its factorization.

1012021011001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92929.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 1012021011001 its reverse (1001101202101), we get a palindrome (2013122213102).

It can be divided in two parts, 101202101 and 1001, that multiplied together give a palindrome (101303303101).

The spelling of 1012021011001 in words is "one trillion, twelve billion, twenty-one million, eleven thousand, one".