1101121013310 has 64 divisors (see below), whose sum is σ = 2657757420864. Its totient is φ = 291958732800.

The previous prime is 1101121013309. The next prime is 1101121013407. The reversal of 1101121013310 is 133101211011.

It is a super-2 number, since 2×1101121013310² (a number of 25 digits) contains 22 as substring.

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 1101121013310.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38652792 + ... + 38681268.

It is an arithmetic number, because the mean of its divisors is an integer number (41527459701).

Almost surely, 2^{1101121013310} is an apocalyptic number.

1101121013310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1101121013310 is an abundant number, since it is smaller than the sum of its proper divisors (1556636407554).

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

1101121013310 is a wasteful number, since it uses less digits than its factorization.

1101121013310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35789.

The product of its (nonzero) digits is 18, while the sum is 15.

Adding to 1101121013310 its reverse (133101211011), we get a palindrome (1234222224321).

The spelling of 1101121013310 in words is "one trillion, one hundred one billion, one hundred twenty-one million, thirteen thousand, three hundred ten".