2221101011001 has 16 divisors (see below), whose sum is σ = 3003238373760. Its totient is φ = 1459849655040.

The previous prime is 2221101010951. The next prime is 2221101011023. The reversal of 2221101011001 is 1001101011222.

It is not a de Polignac number, because 2221101011001 - 2¹⁰ = 2221101009977 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2221101011401) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18537955 + ... + 18657383.

It is an arithmetic number, because the mean of its divisors is an integer number (187702398360).

Almost surely, 2^{2221101011001} is an apocalyptic number.

It is an amenable number.

2221101011001 is a deficient number, since it is larger than the sum of its proper divisors (782137362759).

2221101011001 is a wasteful number, since it uses less digits than its factorization.

2221101011001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206816.

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

Adding to 2221101011001 its reverse (1001101011222), we get a palindrome (3222202022223).

The spelling of 2221101011001 in words is "two trillion, two hundred twenty-one billion, one hundred one million, eleven thousand, one".