221020101211122 has 64 divisors (see below), whose sum is σ = 499514885683200. Its totient is φ = 72419673445200.

The previous prime is 221020101211087. The next prime is 221020101211229. The reversal of 221020101211122 is 221112101020122.

221020101211122 is a `hidden beast` number, since 2 + 210 + 20 + 101 + 211 + 122 = 666.

It is a super-2 number, since 2×221020101211122² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 221020101211095 and 221020101211104.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43975723 + ... + 48743249.

It is an arithmetic number, because the mean of its divisors is an integer number (7804920088800).

Almost surely, 2^{221020101211122} is an apocalyptic number.

221020101211122 is an abundant number, since it is smaller than the sum of its proper divisors (278494784472078).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

221020101211122 is a wasteful number, since it uses less digits than its factorization.

221020101211122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4782148 (or 4782142 counting only the distinct ones).

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

Adding to 221020101211122 its reverse (221112101020122), we get a palindrome (442132202231244).

The spelling of 221020101211122 in words is "two hundred twenty-one trillion, twenty billion, one hundred one million, two hundred eleven thousand, one hundred twenty-two".