10001011221201 has 128 divisors (see below), whose sum is σ = 18815429799936. Its totient is φ = 4557560878080.

The previous prime is 10001011221197. The next prime is 10001011221203. The reversal of 10001011221201 is 10212211010001.

It is not a de Polignac number, because 10001011221201 - 2² = 10001011221197 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10001011221203) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3731155 + ... + 5824391.

It is an arithmetic number, because the mean of its divisors is an integer number (146995545312).

Almost surely, 2^{10001011221201} is an apocalyptic number.

10001011221201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10001011221201 is a deficient number, since it is larger than the sum of its proper divisors (8814418578735).

10001011221201 is a wasteful number, since it uses less digits than its factorization.

10001011221201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2093351.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10001011221201 its reverse (10212211010001), we get a palindrome (20213222231202).

The spelling of 10001011221201 in words is "ten trillion, one billion, eleven million, two hundred twenty-one thousand, two hundred one".