10201112210120 has 128 divisors (see below), whose sum is σ = 24802783740000. Its totient is φ = 3753669427200.

The previous prime is 10201112210077. The next prime is 10201112210161. The reversal of 10201112210120 is 2101221110201.

It can be written as a sum of positive squares in 16 ways, for example, as 3909000484 + 10197203209636 = 62522^2 + 3193306^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10201112210095 and 10201112210104.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 344978696 + ... + 345008264.

Almost surely, 2^{10201112210120} is an apocalyptic number.

10201112210120 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 10201112210120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12401391870000).

10201112210120 is an abundant number, since it is smaller than the sum of its proper divisors (14601671529880).

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

10201112210120 is a wasteful number, since it uses less digits than its factorization.

10201112210120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31843 (or 31839 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 10201112210120 its reverse (2101221110201), we get a palindrome (12302333320321).

The spelling of 10201112210120 in words is "ten trillion, two hundred one billion, one hundred twelve million, two hundred ten thousand, one hundred twenty".