1011010021001 has 8 divisors (see below), whose sum is σ = 1013457798408. Its totient is φ = 1008562464000.

The previous prime is 1011010020991. The next prime is 1011010021027. The reversal of 1011010021001 is 1001200101101.

It is a happy number.

1011010021001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 735765625 + 1010274255376 = 27125^2 + 1005124^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1011010021001 - 2³⁴ = 993830151817 is a prime.

It is a super-2 number, since 2×1011010021001² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1011010021001.

It is not an unprimeable number, because it can be changed into a prime (1011010021061) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12657971 + ... + 12737591.

It is an arithmetic number, because the mean of its divisors is an integer number (126682224801).

Almost surely, 2^{1011010021001} is an apocalyptic number.

It is an amenable number.

1011010021001 is a deficient number, since it is larger than the sum of its proper divisors (2447777407).

1011010021001 is an equidigital number, since it uses as much as digits as its factorization.

1011010021001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110203.

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 1011010021001 its reverse (1001200101101), we get a palindrome (2012210122102).

The spelling of 1011010021001 in words is "one trillion, eleven billion, ten million, twenty-one thousand, one".