1010110021120 has 80 divisors (see below), whose sum is σ = 2440385175888. Its totient is φ = 400959569920.

The previous prime is 1010110021033. The next prime is 1010110021133. The reversal of 1010110021120 is 211200110101.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 1010110021097 and 1010110021106.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1170649 + ... + 1841368.

Almost surely, 2^{1010110021120} is an apocalyptic number.

1010110021120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1010110021120 is an abundant number, since it is smaller than the sum of its proper divisors (1430275154768).

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

1010110021120 is an equidigital number, since it uses as much as digits as its factorization.

1010110021120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3012171 (or 3012155 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 1010110021120 its reverse (211200110101), we get a palindrome (1221310131221).

The spelling of 1010110021120 in words is "one trillion, ten billion, one hundred ten million, twenty-one thousand, one hundred twenty".