101200011022110 has 768 divisors, whose sum is σ = 360952326282240. Its totient is φ = 17775383592960.

The previous prime is 101200011022079. The next prime is 101200011022193. The reversal of 101200011022110 is 11220110002101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 131839401 + ... + 132604779.

It is an arithmetic number, because the mean of its divisors is an integer number (469990008180).

Almost surely, 2^{101200011022110} is an apocalyptic number.

101200011022110 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 101200011022110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180476163141120).

101200011022110 is an abundant number, since it is smaller than the sum of its proper divisors (259752315260130).

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

101200011022110 is a wasteful number, since it uses less digits than its factorization.

101200011022110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 765481 (or 765474 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 101200011022110 its reverse (11220110002101), we get a palindrome (112420121024211).

The spelling of 101200011022110 in words is "one hundred one trillion, two hundred billion, eleven million, twenty-two thousand, one hundred ten".