101111100100 has 36 divisors (see below), whose sum is σ = 219470242068. Its totient is φ = 40433536000.

The previous prime is 101111100067. The next prime is 101111100109. The reversal of 101111100100 is 1001111101.

It is a happy number.

101111100100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 19434032836 + 81677067264 = 139406^2 + 285792^2 .

It is not an unprimeable number, because it can be changed into a prime (101111100109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 241680 + ... + 510520.

It is an arithmetic number, because the mean of its divisors is an integer number (6096395613).

Almost surely, 2^101111100100 is an apocalyptic number.

101111100100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101111100100 is an abundant number, since it is smaller than the sum of its proper divisors (118359141968).

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

101111100100 is a wasteful number, since it uses less digits than its factorization.

101111100100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272616 (or 272609 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 101111100100 its reverse (1001111101), we get a palindrome (102112211201).

The spelling of 101111100100 in words is "one hundred one billion, one hundred eleven million, one hundred thousand, one hundred".