101000110021120 has 80 divisors (see below), whose sum is σ = 242174137530600. Its totient is φ = 40398276870144.

The previous prime is 101000110021087. The next prime is 101000110021133. The reversal of 101000110021120 is 21120011000101.

It can be written as a sum of positive squares in 4 ways, for example, as 60662165342464 + 40337944678656 = 7788592^2 + 6351216^2 .

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 = 101000110021097 and 101000110021106.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 58471606 + ... + 60174154.

Almost surely, 2^{101000110021120} is an apocalyptic number.

101000110021120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101000110021120 is an abundant number, since it is smaller than the sum of its proper divisors (141174027509480).

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

101000110021120 is an equidigital number, since it uses as much as digits as its factorization.

101000110021120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1725745 (or 1725729 counting only the distinct ones).

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

Adding to 101000110021120 its reverse (21120011000101), we get a palindrome (122120121021221).

The spelling of 101000110021120 in words is "one hundred one trillion, one hundred ten million, twenty-one thousand, one hundred twenty".