100212272672 has 54 divisors (see below), whose sum is σ = 199535522823. Its totient is φ = 49542944832.

The previous prime is 100212272653. The next prime is 100212272689. The reversal of 100212272672 is 276272212001.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 50106136336 + 50106136336 = 223844^2 + 223844^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=223844.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a Duffinian 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 8 ways as a sum of consecutive naturals, for example, 191610203 + ... + 191610725.

Almost surely, 2^100212272672 is an apocalyptic number.

It is an amenable number.

100212272672 is a deficient number, since it is larger than the sum of its proper divisors (99323250151).

100212272672 is an frugal number, since it uses more digits than its factorization.

100212272672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1270 (or 632 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 32.

Multiplying 100212272672 by its sum of digits (32), we get a square (3206792725504 = 1790752²).

100212272672 divided by its sum of digits (32) gives a square (3131633521 = 55961²).

Adding to 100212272672 its reverse (276272212001), we get a palindrome (376484484673).

The spelling of 100212272672 in words is "one hundred billion, two hundred twelve million, two hundred seventy-two thousand, six hundred seventy-two".