101100611105550 has 288 divisors, whose sum is σ = 318606650369280. Its totient is φ = 22501961740800.

The previous prime is 101100611105539. The next prime is 101100611105561. The reversal of 101100611105550 is 55501116001101.

101100611105550 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 0 + 0 + 6 + 1 + 1 + 105 + 550 = 666.

It is an interprime number because it is at equal distance from previous prime (101100611105539) and next prime (101100611105561).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 66797061 + ... + 68293839.

It is an arithmetic number, because the mean of its divisors is an integer number (1106273091560).

Almost surely, 2^{101100611105550} is an apocalyptic number.

101100611105550 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 101100611105550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159303325184640).

101100611105550 is an abundant number, since it is smaller than the sum of its proper divisors (217506039263730).

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

101100611105550 is a wasteful number, since it uses less digits than its factorization.

101100611105550 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1497368 (or 1497360 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 27.

Adding to 101100611105550 its reverse (55501116001101), we get a palindrome (156601727106651).

The spelling of 101100611105550 in words is "one hundred one trillion, one hundred billion, six hundred eleven million, one hundred five thousand, five hundred fifty".