10121122210000 has 400 divisors, whose sum is σ = 26491484061504. Its totient is φ = 3730461696000.

The previous prime is 10121122209977. The next prime is 10121122210013. The reversal of 10121122210000 is 1222112101.

It is a tau number, because it is divible by the number of its divisors (400).

It is a super-2 number, since 2×10121122210000² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5793429127 + ... + 5793430873.

Almost surely, 2^{10121122210000} is an apocalyptic number.

10121122210000 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 10121122210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13245742030752).

10121122210000 is an abundant number, since it is smaller than the sum of its proper divisors (16370361851504).

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

10121122210000 is a wasteful number, since it uses less digits than its factorization.

10121122210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2488 (or 2467 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 10121122210000 its reverse (1222112101), we get a palindrome (10122344322101).

The spelling of 10121122210000 in words is "ten trillion, one hundred twenty-one billion, one hundred twenty-two million, two hundred ten thousand".