10112020001001 has 6 divisors (see below), whose sum is σ = 14606251112570. Its totient is φ = 6741346667328.

The previous prime is 10112020000961. The next prime is 10112020001021. The reversal of 10112020001001 is 10010002021101.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 9433645387776 + 678374613225 = 3071424^2 + 823635^2 .

It is not a de Polignac number, because 10112020001001 - 2¹¹ = 10112019998953 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 1123557777889 = 10112020001001 / (1 + 0 + 1 + 1 + 2 + 0 + 2 + 0 + 0 + 0 + 1 + 0 + 0 + 1).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10112020001021) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 561778888936 + ... + 561778888953.

Almost surely, 2^{10112020001001} is an apocalyptic number.

It is an amenable number.

10112020001001 is a deficient number, since it is larger than the sum of its proper divisors (4494231111569).

10112020001001 is a wasteful number, since it uses less digits than its factorization.

10112020001001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1123557777895 (or 1123557777892 counting only the distinct ones).

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

Adding to 10112020001001 its reverse (10010002021101), we get a palindrome (20122022022102).

The spelling of 10112020001001 in words is "ten trillion, one hundred twelve billion, twenty million, one thousand, one".