10021011011201 has 8 divisors (see below), whose sum is σ = 10634986832904. Its totient is φ = 9409757921280.

The previous prime is 10021011011161. The next prime is 10021011011237. The reversal of 10021011011201 is 10211011012001.

It can be written as a sum of positive squares in 4 ways, for example, as 4208861505601 + 5812149505600 = 2051551^2 + 2410840^2 .

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

It is not a de Polignac number, because 10021011011201 - 2¹⁰ = 10021011010177 is a prime.

It is a super-2 number, since 2×10021011011201² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10021011011101) 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, 680675360 + ... + 680690081.

It is an arithmetic number, because the mean of its divisors is an integer number (1329373354113).

Almost surely, 2^{10021011011201} is an apocalyptic number.

It is an amenable number.

10021011011201 is a deficient number, since it is larger than the sum of its proper divisors (613975821703).

10021011011201 is a wasteful number, since it uses less digits than its factorization.

10021011011201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1361365891.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 10021011011201 its reverse (10211011012001), we get a palindrome (20232022023202).

The spelling of 10021011011201 in words is "ten trillion, twenty-one billion, eleven million, eleven thousand, two hundred one".