10111022201120 has 96 divisors (see below), whose sum is σ = 24391265231088. Its totient is φ = 3959888560128.

The previous prime is 10111022201089. The next prime is 10111022201129. The reversal of 10111022201120 is 2110222011101.

It can be written as a sum of positive squares in 8 ways, for example, as 5611346093584 + 4499676107536 = 2368828^2 + 2121244^2 .

It is a super-3 number, since 3×10111022201120³ (a number of 40 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10111022201095 and 10111022201104.

It is not an unprimeable number, because it can be changed into a prime (10111022201129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1559219 + ... + 4759538.

Almost surely, 2^{10111022201120} is an apocalyptic number.

10111022201120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10111022201120 is an abundant number, since it is smaller than the sum of its proper divisors (14280243029968).

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

10111022201120 is a wasteful number, since it uses less digits than its factorization.

10111022201120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6318982 (or 6318974 counting only the distinct ones).

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

Adding to 10111022201120 its reverse (2110222011101), we get a palindrome (12221244212221).

The spelling of 10111022201120 in words is "ten trillion, one hundred eleven billion, twenty-two million, two hundred one thousand, one hundred twenty".