10101111221000 has 256 divisors, whose sum is σ = 25225038558720. Its totient is φ = 3772800000000.

The previous prime is 10101111220979. The next prime is 10101111221011. The reversal of 10101111221000 is 12211110101.

It is a super-2 number, since 2×10101111221000² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1122216500 + ... + 1122225500.

It is an arithmetic number, because the mean of its divisors is an integer number (98535306870).

Almost surely, 2^{10101111221000} is an apocalyptic number.

10101111221000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10101111221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12612519279360).

10101111221000 is an abundant number, since it is smaller than the sum of its proper divisors (15123927337720).

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

10101111221000 is a wasteful number, since it uses less digits than its factorization.

10101111221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9553 (or 9539 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 10101111221000 its reverse (12211110101), we get a palindrome (10113322331101).

The spelling of 10101111221000 in words is "ten trillion, one hundred one billion, one hundred eleven million, two hundred twenty-one thousand".