10101122210000 has 200 divisors, whose sum is σ = 24550790732160. Its totient is φ = 4024792512000.

The previous prime is 10101122209957. The next prime is 10101122210009. The reversal of 10101122210000 is 1222110101.

10101122210000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (200).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10101122210009) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3498828557 + ... + 3498831443.

Almost surely, 2^{10101122210000} is an apocalyptic number.

10101122210000 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 10101122210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12275395366080).

10101122210000 is an abundant number, since it is smaller than the sum of its proper divisors (14449668522160).

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

10101122210000 is an equidigital number, since it uses as much as digits as its factorization.

10101122210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4151 (or 4130 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 10101122210000 its reverse (1222110101), we get a palindrome (10102344320101).

The spelling of 10101122210000 in words is "ten trillion, one hundred one billion, one hundred twenty-two million, two hundred ten thousand".