101110201011120 has 160 divisors (see below), whose sum is σ = 361765721226240. Its totient is φ = 22882082227200.

The previous prime is 101110201011089. The next prime is 101110201011143. The reversal of 101110201011120 is 21110102011101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 101110201011096 and 101110201011105.

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, 297774100 + ... + 298113459.

It is an arithmetic number, because the mean of its divisors is an integer number (2261035757664).

Almost surely, 2^{101110201011120} is an apocalyptic number.

101110201011120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101110201011120 is an abundant number, since it is smaller than the sum of its proper divisors (260655520215120).

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

101110201011120 is a wasteful number, since it uses less digits than its factorization.

101110201011120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 595887683 (or 595887677 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 101110201011120 its reverse (21110102011101), we get a palindrome (122220303022221).

The spelling of 101110201011120 in words is "one hundred one trillion, one hundred ten billion, two hundred one million, eleven thousand, one hundred twenty".