101222164525 has 48 divisors (see below), whose sum is σ = 135758168064. Its totient is φ = 74676127680.

The previous prime is 101222164487. The next prime is 101222164531. The reversal of 101222164525 is 525461222101.

It is not a de Polignac number, because 101222164525 - 2⁷ = 101222164397 is a prime.

It is a super-2 number, since 2×101222164525² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1782724 + ... + 1838626.

It is an arithmetic number, because the mean of its divisors is an integer number (2828295168).

Almost surely, 2^101222164525 is an apocalyptic number.

It is an amenable number.

101222164525 is a deficient number, since it is larger than the sum of its proper divisors (34536003539).

101222164525 is a wasteful number, since it uses less digits than its factorization.

101222164525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56050 (or 56045 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 31.

Adding to 101222164525 its reverse (525461222101), we get a palindrome (626683386626).

The spelling of 101222164525 in words is "one hundred one billion, two hundred twenty-two million, one hundred sixty-four thousand, five hundred twenty-five".