150672442212100 has 72 divisors (see below), whose sum is σ = 335162117704680. Its totient is φ = 58775471124480.

The previous prime is 150672442212079. The next prime is 150672442212107. The reversal of 150672442212100 is 1212244276051.

It can be written as a sum of positive squares in 12 ways, for example, as 75261558816964 + 75410883395136 = 8675342^2 + 8683944^2 .

It is a super-2 number, since 2×150672442212100² (a number of 29 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 150672442212100.

It is not an unprimeable number, because it can be changed into a prime (150672442212107) 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 23 ways as a sum of consecutive naturals, for example, 115305697 + ... + 116605096.

It is an arithmetic number, because the mean of its divisors is an integer number (4655029412565).

Almost surely, 2^{150672442212100} is an apocalyptic number.

150672442212100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

150672442212100 is an abundant number, since it is smaller than the sum of its proper divisors (184489675492580).

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

150672442212100 is a wasteful number, since it uses less digits than its factorization.

150672442212100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231910969 (or 231910962 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 37.

Adding to 150672442212100 its reverse (1212244276051), we get a palindrome (151884686488151).

The spelling of 150672442212100 in words is "one hundred fifty trillion, six hundred seventy-two billion, four hundred forty-two million, two hundred twelve thousand, one hundred".