101222221201011 has 32 divisors (see below), whose sum is σ = 159414302476800. Its totient is φ = 63296855330400.

The previous prime is 101222221200983. The next prime is 101222221201027. The reversal of 101222221201011 is 110102122222101.

101222221201011 is a `hidden beast` number, since 10 + 1 + 222 + 221 + 201 + 0 + 11 = 666.

It is not a de Polignac number, because 101222221201011 - 2¹⁹ = 101222220676723 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101222221203011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 976751511 + ... + 976855136.

It is an arithmetic number, because the mean of its divisors is an integer number (4981696952400).

Almost surely, 2^{101222221201011} is an apocalyptic number.

101222221201011 is a deficient number, since it is larger than the sum of its proper divisors (58192081275789).

101222221201011 is a wasteful number, since it uses less digits than its factorization.

101222221201011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1953606776 (or 1953606770 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 101222221201011 its reverse (110102122222101), we get a palindrome (211324343423112).

The spelling of 101222221201011 in words is "one hundred one trillion, two hundred twenty-two billion, two hundred twenty-one million, two hundred one thousand, eleven".