100110331772 has 48 divisors (see below), whose sum is σ = 193174087680. Its totient is φ = 45015974400.

The previous prime is 100110331757. The next prime is 100110331777. The reversal of 100110331772 is 277133011001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100110331777) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14896229 + ... + 14902947.

It is an arithmetic number, because the mean of its divisors is an integer number (4024460160).

Almost surely, 2^100110331772 is an apocalyptic number.

It is an amenable number.

100110331772 is a deficient number, since it is larger than the sum of its proper divisors (93063755908).

100110331772 is a wasteful number, since it uses less digits than its factorization.

100110331772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10322 (or 10320 counting only the distinct ones).

The product of its (nonzero) digits is 882, while the sum is 26.

Adding to 100110331772 its reverse (277133011001), we get a palindrome (377243342773).

The spelling of 100110331772 in words is "one hundred billion, one hundred ten million, three hundred thirty-one thousand, seven hundred seventy-two".