101100611101050 has 288 divisors, whose sum is σ = 321043549844160. Its totient is φ = 22531064371200.

The previous prime is 101100611101019. The next prime is 101100611101051. The reversal of 101100611101050 is 50101116001101.

It is a happy number.

101100611101050 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 0 + 0 + 611 + 1 + 0 + 1 + 0 + 50 = 666.

101100611101050 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×101100611101050² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (101100611101051) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 10351705 + ... + 17588604.

It is an arithmetic number, because the mean of its divisors is an integer number (1114734548070).

Almost surely, 2^{101100611101050} is an apocalyptic number.

101100611101050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101100611101050 is an abundant number, since it is smaller than the sum of its proper divisors (219942938743110).

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

101100611101050 is a wasteful number, since it uses less digits than its factorization.

101100611101050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27940398 (or 27940390 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 18.

Adding to 101100611101050 its reverse (50101116001101), we get a palindrome (151201727102151).

The spelling of 101100611101050 in words is "one hundred one trillion, one hundred billion, six hundred eleven million, one hundred one thousand, fifty".