222101100100152 has 768 divisors, whose sum is σ = 780135671952000. Its totient is φ = 58028406718464.

The previous prime is 222101100100151. The next prime is 222101100100153. The reversal of 222101100100152 is 251001001101222.

It is an interprime number because it is at equal distance from previous prime (222101100100151) and next prime (222101100100153).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222101100100151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7279839874 + ... + 7279870382.

Almost surely, 2^{222101100100152} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 222101100100152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390067835976000).

222101100100152 is an abundant number, since it is smaller than the sum of its proper divisors (558034571851848).

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

222101100100152 is a wasteful number, since it uses less digits than its factorization.

222101100100152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31045 (or 31028 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 18.

Adding to 222101100100152 its reverse (251001001101222), we get a palindrome (473102101201374).

The spelling of 222101100100152 in words is "two hundred twenty-two trillion, one hundred one billion, one hundred million, one hundred thousand, one hundred fifty-two".