101010222221121 has 32 divisors (see below), whose sum is σ = 158449563417600. Its totient is φ = 63378100558080.

The previous prime is 101010222221071. The next prime is 101010222221143. The reversal of 101010222221121 is 121122222010101.

101010222221121 is a `hidden beast` number, since 1 + 0 + 101 + 0 + 222 + 221 + 121 = 666.

It is not a de Polignac number, because 101010222221121 - 2⁶ = 101010222221057 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101010222221094 and 101010222221103.

It is not an unprimeable number, because it can be changed into a prime (101010222221171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33144016 + ... + 36063086.

It is an arithmetic number, because the mean of its divisors is an integer number (4951548856800).

Almost surely, 2^{101010222221121} is an apocalyptic number.

It is an amenable number.

101010222221121 is a deficient number, since it is larger than the sum of its proper divisors (57439341196479).

101010222221121 is a wasteful number, since it uses less digits than its factorization.

101010222221121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2994486 (or 2994480 counting only the distinct ones).

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

Adding to 101010222221121 its reverse (121122222010101), we get a palindrome (222132444231222).

The spelling of 101010222221121 in words is "one hundred one trillion, ten billion, two hundred twenty-two million, two hundred twenty-one thousand, one hundred twenty-one".