1011102121120 has 192 divisors, whose sum is σ = 3112914260736. Its totient is φ = 301173719040.

The previous prime is 1011102121111. The next prime is 1011102121123. The reversal of 1011102121120 is 211212011101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 1011102121120.

It is not an unprimeable number, because it can be changed into a prime (1011102121123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1794946 + ... + 2289985.

It is an arithmetic number, because the mean of its divisors is an integer number (16213095108).

Almost surely, 2^{1011102121120} is an apocalyptic number.

1011102121120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1011102121120 is an abundant number, since it is smaller than the sum of its proper divisors (2101812139616).

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

1011102121120 is a wasteful number, since it uses less digits than its factorization.

1011102121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4084983 (or 4084975 counting only the distinct ones).

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

Adding to 1011102121120 its reverse (211212011101), we get a palindrome (1222314132221).

The spelling of 1011102121120 in words is "one trillion, eleven billion, one hundred two million, one hundred twenty-one thousand, one hundred twenty".