10201220212120 has 128 divisors (see below), whose sum is σ = 26329831925760. Its totient is φ = 3484497553920.

The previous prime is 10201220212109. The next prime is 10201220212121. The reversal of 10201220212120 is 2121202210201.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10201220212094 and 10201220212103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10201220212121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 102401935 + ... + 102501505.

It is an arithmetic number, because the mean of its divisors is an integer number (205701811920).

Almost surely, 2^{10201220212120} is an apocalyptic number.

10201220212120 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 10201220212120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13164915962880).

10201220212120 is an abundant number, since it is smaller than the sum of its proper divisors (16128611713640).

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

10201220212120 is a wasteful number, since it uses less digits than its factorization.

10201220212120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100953 (or 100949 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 10201220212120 its reverse (2121202210201), we get a palindrome (12322422422321).

The spelling of 10201220212120 in words is "ten trillion, two hundred one billion, two hundred twenty million, two hundred twelve thousand, one hundred twenty".