101222131145 has 8 divisors (see below), whose sum is σ = 122580930120. Its totient is φ = 80234789760.

The previous prime is 101222131141. The next prime is 101222131151. The reversal of 101222131145 is 541131222101.

It can be written as a sum of positive squares in 4 ways, for example, as 13986373696 + 87235757449 = 118264^2 + 295357^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 101222131145 - 2² = 101222131141 is a prime.

It is a super-2 number, since 2×101222131145² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 101222131145.

It is not an unprimeable number, because it can be changed into a prime (101222131141) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 92863796 + ... + 92864885.

It is an arithmetic number, because the mean of its divisors is an integer number (15322616265).

Almost surely, 2^101222131145 is an apocalyptic number.

It is an amenable number.

101222131145 is a deficient number, since it is larger than the sum of its proper divisors (21358798975).

101222131145 is a wasteful number, since it uses less digits than its factorization.

101222131145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185728795.

The product of its (nonzero) digits is 480, while the sum is 23.

Adding to 101222131145 its reverse (541131222101), we get a palindrome (642353353246).

The spelling of 101222131145 in words is "one hundred one billion, two hundred twenty-two million, one hundred thirty-one thousand, one hundred forty-five".