10111222101120 has 128 divisors (see below), whose sum is σ = 36833737703040. Its totient is φ = 2311136477184.

The previous prime is 10111222101107. The next prime is 10111222101133. The reversal of 10111222101120 is 2110122211101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10111222101107) and next prime (10111222101133).

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10111222101120.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 376148097 + ... + 376174976.

It is an arithmetic number, because the mean of its divisors is an integer number (287763575805).

Almost surely, 2^{10111222101120} is an apocalyptic number.

10111222101120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10111222101120 is an abundant number, since it is smaller than the sum of its proper divisors (26722515601920).

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

10111222101120 is an equidigital number, since it uses as much as digits as its factorization.

10111222101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 752323102 (or 752323090 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 10111222101120 its reverse (2110122211101), we get a palindrome (12221344312221).

The spelling of 10111222101120 in words is "ten trillion, one hundred eleven billion, two hundred twenty-two million, one hundred one thousand, one hundred twenty".