1122101210120 has 48 divisors (see below), whose sum is σ = 2775113955180. Its totient is φ = 408036801920.

The previous prime is 1122101210101. The next prime is 1122101210123. The reversal of 1122101210120 is 210121012211.

It can be written as a sum of positive squares in 2 ways, for example, as 1028735518756 + 93365691364 = 1014266^2 + 305558^2 .

It is a super-2 number, since 2×1122101210120² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1122101210095 and 1122101210104.

It is not an unprimeable number, because it can be changed into a prime (1122101210123) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 115914707 + ... + 115924386.

Almost surely, 2^{1122101210120} is an apocalyptic number.

1122101210120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1122101210120 is an abundant number, since it is smaller than the sum of its proper divisors (1653012745060).

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

1122101210120 is a wasteful number, since it uses less digits than its factorization.

1122101210120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231839126 (or 231839111 counting only the distinct ones).

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

Adding to 1122101210120 its reverse (210121012211), we get a palindrome (1332222222331).

The spelling of 1122101210120 in words is "one trillion, one hundred twenty-two billion, one hundred one million, two hundred ten thousand, one hundred twenty".