10021001110120 has 256 divisors, whose sum is σ = 31589464596480. Its totient is φ = 2757809894400.

The previous prime is 10021001110037. The next prime is 10021001110207. The reversal of 10021001110120 is 2101110012001.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 10021001110097 and 10021001110106.

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, 4519836 + ... + 6361675.

It is an arithmetic number, because the mean of its divisors is an integer number (123396346080).

Almost surely, 2^{10021001110120} is an apocalyptic number.

10021001110120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10021001110120 is an abundant number, since it is smaller than the sum of its proper divisors (21568463486360).

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

10021001110120 is a wasteful number, since it uses less digits than its factorization.

10021001110120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10881576 (or 10881572 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 10021001110120 its reverse (2101110012001), we get a palindrome (12122111122121).

The spelling of 10021001110120 in words is "ten trillion, twenty-one billion, one million, one hundred ten thousand, one hundred twenty".