10021010210120 has 256 divisors, whose sum is σ = 28302375628800. Its totient is φ = 3108722641920.

The previous prime is 10021010210117. The next prime is 10021010210131. The reversal of 10021010210120 is 2101201012001.

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, 74454485 + ... + 74588955.

It is an arithmetic number, because the mean of its divisors is an integer number (110556154800).

Almost surely, 2^{10021010210120} is an apocalyptic number.

10021010210120 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 10021010210120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14151187814400).

10021010210120 is an abundant number, since it is smaller than the sum of its proper divisors (18281365418680).

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

10021010210120 is a wasteful number, since it uses less digits than its factorization.

10021010210120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134908 (or 134904 counting only the distinct ones).

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

Adding to 10021010210120 its reverse (2101201012001), we get a palindrome (12122211222121).

The spelling of 10021010210120 in words is "ten trillion, twenty-one billion, ten million, two hundred ten thousand, one hundred twenty".