10201011011220 has 96 divisors (see below), whose sum is σ = 30098504822400. Its totient is φ = 2574323195904.

The previous prime is 10201011011197. The next prime is 10201011011287. The reversal of 10201011011220 is 2211011010201.

10201011011220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10201011011196 and 10201011011205.

It is a congruent number.

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, 3757009 + ... + 5875128.

It is an arithmetic number, because the mean of its divisors is an integer number (313526091900).

Almost surely, 2^{10201011011220} is an apocalyptic number.

10201011011220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10201011011220 is an abundant number, since it is smaller than the sum of its proper divisors (19897493811180).

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

10201011011220 is a wasteful number, since it uses less digits than its factorization.

10201011011220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9633097 (or 9633095 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10201011011220 its reverse (2211011010201), we get a palindrome (12412022021421).

The spelling of 10201011011220 in words is "ten trillion, two hundred one billion, eleven million, eleven thousand, two hundred twenty".