10101010221120 has 1344 divisors, whose sum is σ = 42690919057920. Its totient is φ = 1967985524736.

The previous prime is 10101010221041. The next prime is 10101010221131. The reversal of 10101010221120 is 2112201010101.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×10101010221120² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10101010221096 and 10101010221105.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1340185992 + ... + 1340193528.

It is an arithmetic number, because the mean of its divisors is an integer number (31764076680).

Almost surely, 2^{10101010221120} is an apocalyptic number.

10101010221120 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 10101010221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21345459528960).

10101010221120 is an abundant number, since it is smaller than the sum of its proper divisors (32589908836800).

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

10101010221120 is a wasteful number, since it uses less digits than its factorization.

10101010221120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7652 (or 7619 counting only the distinct ones).

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

Adding to 10101010221120 its reverse (2112201010101), we get a palindrome (12213211231221).

The spelling of 10101010221120 in words is "ten trillion, one hundred one billion, ten million, two hundred twenty-one thousand, one hundred twenty".