101111012010020 has 12 divisors (see below), whose sum is σ = 212333125221084. Its totient is φ = 40444404804000.

The previous prime is 101111012009999. The next prime is 101111012010037. The reversal of 101111012010020 is 20010210111101.

It can be written as a sum of positive squares in 2 ways, for example, as 10584312249316 + 90526699760704 = 3253354^2 + 9514552^2 .

It is a junction number, because it is equal to n+sod(n) for n = 101111012009983 and 101111012010010.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2527775300231 + ... + 2527775300270.

It is an arithmetic number, because the mean of its divisors is an integer number (17694427101757).

Almost surely, 2^{101111012010020} is an apocalyptic number.

101111012010020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101111012010020 is an abundant number, since it is smaller than the sum of its proper divisors (111222113211064).

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

101111012010020 is a wasteful number, since it uses less digits than its factorization.

101111012010020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5055550600510 (or 5055550600508 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 101111012010020 its reverse (20010210111101), we get a palindrome (121121222121121).

The spelling of 101111012010020 in words is "one hundred one trillion, one hundred eleven billion, twelve million, ten thousand, twenty".