101120002210010 has 40 divisors (see below), whose sum is σ = 212339369955636. Its totient is φ = 34669715035200.

The previous prime is 101120002210009. The next prime is 101120002210033. The reversal of 101120002210010 is 10012200021101.

It can be written as a sum of positive squares in 2 ways, for example, as 96835892913529 + 4284109296481 = 9840523^2 + 2069809^2 .

It is a super-3 number, since 3×101120002210010³ (a number of 43 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101120002209973 and 101120002210000.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2105765291 + ... + 2105813310.

Almost surely, 2^{101120002210010} is an apocalyptic number.

101120002210010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101120002210010 is an abundant number, since it is smaller than the sum of its proper divisors (111219367745626).

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

101120002210010 is an frugal number, since it uses more digits than its factorization.

101120002210010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4211578636 (or 4211578615 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 101120002210010 its reverse (10012200021101), we get a palindrome (111132202231111).

The spelling of 101120002210010 in words is "one hundred one trillion, one hundred twenty billion, two million, two hundred ten thousand, ten".