101111101120200 has 288 divisors, whose sum is σ = 344448537364800. Its totient is φ = 24501836943360.

The previous prime is 101111101120189. The next prime is 101111101120201. The reversal of 101111101120200 is 2021101111101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (101111101120201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5025004 + ... + 15082203.

It is an arithmetic number, because the mean of its divisors is an integer number (1196001865850).

Almost surely, 2^{101111101120200} is an apocalyptic number.

101111101120200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101111101120200 is an abundant number, since it is smaller than the sum of its proper divisors (243337436244600).

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

101111101120200 is a wasteful number, since it uses less digits than its factorization.

101111101120200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20107289 (or 20107263 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 101111101120200 its reverse (2021101111101), we get a palindrome (103132202231301).

Subtracting from 101111101120200 its reverse (2021101111101), we obtain a palindrome (99090000009099).

The spelling of 101111101120200 in words is "one hundred one trillion, one hundred eleven billion, one hundred one million, one hundred twenty thousand, two hundred".