1011201121120 has 48 divisors (see below), whose sum is σ = 2389029603408. Its totient is φ = 404469112320.

The previous prime is 1011201121109. The next prime is 1011201121123. The reversal of 1011201121120 is 211211021101.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 1011201121120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011201121123) 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, 7861162 + ... + 7988758.

It is an arithmetic number, because the mean of its divisors is an integer number (49771450071).

Almost surely, 2^{1011201121120} is an apocalyptic number.

1011201121120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1011201121120 is an abundant number, since it is smaller than the sum of its proper divisors (1377828482288).

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

1011201121120 is a wasteful number, since it uses less digits than its factorization.

1011201121120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177143 (or 177135 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 1011201121120 its reverse (211211021101), we get a palindrome (1222412142221).

The spelling of 1011201121120 in words is "one trillion, eleven billion, two hundred one million, one hundred twenty-one thousand, one hundred twenty".