10121102120010 has 192 divisors, whose sum is σ = 28536298876800. Its totient is φ = 2290515107328.

The previous prime is 10121102119969. The next prime is 10121102120023. The reversal of 10121102120010 is 1002120112101.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 228946569 + ... + 228990771.

It is an arithmetic number, because the mean of its divisors is an integer number (148626556650).

Almost surely, 2^{10121102120010} is an apocalyptic number.

10121102120010 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 10121102120010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14268149438400).

10121102120010 is an abundant number, since it is smaller than the sum of its proper divisors (18415196756790).

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

10121102120010 is a wasteful number, since it uses less digits than its factorization.

10121102120010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45765 (or 45758 counting only the distinct ones).

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

Adding to 10121102120010 its reverse (1002120112101), we get a palindrome (11123222232111).

The spelling of 10121102120010 in words is "ten trillion, one hundred twenty-one billion, one hundred two million, one hundred twenty thousand, ten".