101111201120 has 48 divisors (see below), whose sum is σ = 239526237888. Its totient is φ = 40334254080.

The previous prime is 101111201111. The next prime is 101111201129. The reversal of 101111201120 is 21102111101.

It is an interprime number because it is at equal distance from previous prime (101111201111) and next prime (101111201129).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101111201129) 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 7 ways as a sum of consecutive naturals, for example, 802241 + ... + 919680.

It is an arithmetic number, because the mean of its divisors is an integer number (4990129956).

Almost surely, 2^101111201120 is an apocalyptic number.

101111201120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101111201120 is an abundant number, since it is smaller than the sum of its proper divisors (138415036768).

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

101111201120 is a wasteful number, since it uses less digits than its factorization.

101111201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1722303 (or 1722295 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 101111201120 its reverse (21102111101), we get a palindrome (122213312221).

The spelling of 101111201120 in words is "one hundred one billion, one hundred eleven million, two hundred one thousand, one hundred twenty".