10201111120 has 40 divisors (see below), whose sum is σ = 25112738664. Its totient is φ = 3840417792.

The previous prime is 10201111111. The next prime is 10201111121. The reversal of 10201111120 is 2111110201.

It can be written as a sum of positive squares in 4 ways, for example, as 323136576 + 9877974544 = 17976^2 + 99388^2 .

It is a tau number, because it is divible by the number of its divisors (40).

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 = 10201111097 and 10201111106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10201111121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3749049 + ... + 3751768.

Almost surely, 2^10201111120 is an apocalyptic number.

10201111120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10201111120 is an abundant number, since it is smaller than the sum of its proper divisors (14911627544).

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

10201111120 is a wasteful number, since it uses less digits than its factorization.

10201111120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7500847 (or 7500841 counting only the distinct ones).

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

Adding to 10201111120 its reverse (2111110201), we get a palindrome (12312221321).

The spelling of 10201111120 in words is "ten billion, two hundred one million, one hundred eleven thousand, one hundred twenty".