100020222211122 has 80 divisors (see below), whose sum is σ = 235919133964800. Its totient is φ = 31584799139040.

The previous prime is 100020222211111. The next prime is 100020222211127. The reversal of 100020222211122 is 221112222020001.

It is a happy number.

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 = 100020222211095 and 100020222211104.

It is not an unprimeable number, because it can be changed into a prime (100020222211127) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 207188404 + ... + 207670592.

It is an arithmetic number, because the mean of its divisors is an integer number (2948989174560).

Almost surely, 2^{100020222211122} is an apocalyptic number.

100020222211122 is an abundant number, since it is smaller than the sum of its proper divisors (135898911753678).

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

100020222211122 is a wasteful number, since it uses less digits than its factorization.

100020222211122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 549613 (or 549604 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 100020222211122 its reverse (221112222020001), we get a palindrome (321132444231123).

The spelling of 100020222211122 in words is "one hundred trillion, twenty billion, two hundred twenty-two million, two hundred eleven thousand, one hundred twenty-two".