101011101100020 has 72 divisors (see below), whose sum is σ = 314681430294504. Its totient is φ = 26208285689088.

The previous prime is 101011101099971. The next prime is 101011101100031. The reversal of 101011101100020 is 20001101110101.

101011101100020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 42626770250724 + 58384330849296 = 6528918^2 + 7640964^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 101011101099975 and 101011101100011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7583409339 + ... + 7583422658.

It is an arithmetic number, because the mean of its divisors is an integer number (4370575420757).

Almost surely, 2^{101011101100020} is an apocalyptic number.

101011101100020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101011101100020 is an abundant number, since it is smaller than the sum of its proper divisors (213670329194484).

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

101011101100020 is a wasteful number, since it uses less digits than its factorization.

101011101100020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15166832049 (or 15166832044 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 101011101100020 its reverse (20001101110101), we get a palindrome (121012202210121).

The spelling of 101011101100020 in words is "one hundred one trillion, eleven billion, one hundred one million, one hundred thousand, twenty".