100222111111120 has 40 divisors (see below), whose sum is σ = 235634570241480. Its totient is φ = 39638407987200.

The previous prime is 100222111111117. The next prime is 100222111111127. The reversal of 100222111111120 is 21111111222001.

It can be written as a sum of positive squares in 4 ways, for example, as 16054991169424 + 84167119941696 = 4006868^2 + 9174264^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 100222111111094 and 100222111111103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100222111111127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7038062481 + ... + 7038076720.

It is an arithmetic number, because the mean of its divisors is an integer number (5890864256037).

Almost surely, 2^{100222111111120} is an apocalyptic number.

100222111111120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100222111111120 is an abundant number, since it is smaller than the sum of its proper divisors (135412459130360).

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

100222111111120 is a wasteful number, since it uses less digits than its factorization.

100222111111120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14076139303 (or 14076139297 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 16.

Adding to 100222111111120 its reverse (21111111222001), we get a palindrome (121333222333121).

The spelling of 100222111111120 in words is "one hundred trillion, two hundred twenty-two billion, one hundred eleven million, one hundred eleven thousand, one hundred twenty".