10011102211110 has 864 divisors, whose sum is σ = 34169032983456. Its totient is φ = 1868106240000.

The previous prime is 10011102211057. The next prime is 10011102211127. The reversal of 10011102211110 is 1111220111001.

It is a super-4 number, since 4×10011102211110⁴ (a number of 53 digits) contains 4444 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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 431 ways as a sum of consecutive naturals, for example, 1112216610 + ... + 1112225610.

It is an arithmetic number, because the mean of its divisors is an integer number (39547491879).

Almost surely, 2^{10011102211110} is an apocalyptic number.

10011102211110 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 10011102211110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17084516491728).

10011102211110 is an abundant number, since it is smaller than the sum of its proper divisors (24157930772346).

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

10011102211110 is a wasteful number, since it uses less digits than its factorization.

10011102211110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9110 (or 9079 counting only the distinct ones).

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

Adding to 10011102211110 its reverse (1111220111001), we get a palindrome (11122322322111).

The spelling of 10011102211110 in words is "ten trillion, eleven billion, one hundred two million, two hundred eleven thousand, one hundred ten".