101111120100 has 144 divisors (see below), whose sum is σ = 342161780800. Its totient is φ = 25543848960.

The previous prime is 101111120087. The next prime is 101111120129. The reversal of 101111120100 is 1021111101.

101111120100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 934189 + ... + 1036788.

Almost surely, 2^101111120100 is an apocalyptic number.

101111120100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101111120100 is an abundant number, since it is smaller than the sum of its proper divisors (241050660700).

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

101111120100 is a wasteful number, since it uses less digits than its factorization.

101111120100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1971019 (or 1971006 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 101111120100 its reverse (1021111101), we get a palindrome (102132231201).

The spelling of 101111120100 in words is "one hundred one billion, one hundred eleven million, one hundred twenty thousand, one hundred".