10121220102000 has 320 divisors, whose sum is σ = 37348878947328. Its totient is φ = 2309915520000.

The previous prime is 10121220101981. The next prime is 10121220102029. The reversal of 10121220102000 is 20102212101.

10121220102000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

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, 27579715 + ... + 27944285.

Almost surely, 2^{10121220102000} is an apocalyptic number.

10121220102000 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 10121220102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18674439473664).

10121220102000 is an abundant number, since it is smaller than the sum of its proper divisors (27227658845328).

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

10121220102000 is a wasteful number, since it uses less digits than its factorization.

10121220102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365265 (or 365249 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10121220102000 its reverse (20102212101), we get a palindrome (10141322314101).

The spelling of 10121220102000 in words is "ten trillion, one hundred twenty-one billion, two hundred twenty million, one hundred two thousand".