10201112101220 has 12 divisors (see below), whose sum is σ = 21422335412604. Its totient is φ = 4080444840480.

The previous prime is 10201112101217. The next prime is 10201112101237. The reversal of 10201112101220 is 2210121110201.

It can be written as a sum of positive squares in 2 ways, for example, as 1912666872064 + 8288445229156 = 1382992^2 + 2878966^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10201112101195 and 10201112101204.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 255027802511 + ... + 255027802550.

It is an arithmetic number, because the mean of its divisors is an integer number (1785194617717).

Almost surely, 2^{10201112101220} is an apocalyptic number.

10201112101220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10201112101220 is an abundant number, since it is smaller than the sum of its proper divisors (11221223311384).

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

10201112101220 is a wasteful number, since it uses less digits than its factorization.

10201112101220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510055605070 (or 510055605068 counting only the distinct ones).

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

Adding to 10201112101220 its reverse (2210121110201), we get a palindrome (12411233211421).

The spelling of 10201112101220 in words is "ten trillion, two hundred one billion, one hundred twelve million, one hundred one thousand, two hundred twenty".