101011102101020 has 96 divisors (see below), whose sum is σ = 219614699673600. Its totient is φ = 38985254795520.

The previous prime is 101011102101017. The next prime is 101011102101023. The reversal of 101011102101020 is 20101201110101.

101011102101020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (101011102101017) and next prime (101011102101023).

It is a junction number, because it is equal to n+sod(n) for n = 101011102100992 and 101011102101010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101011102101023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3441941987 + ... + 3441971333.

It is an arithmetic number, because the mean of its divisors is an integer number (2287653121600).

Almost surely, 2^{101011102101020} is an apocalyptic number.

101011102101020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101011102101020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109807349836800).

101011102101020 is an abundant number, since it is smaller than the sum of its proper divisors (118603597572580).

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

101011102101020 is a wasteful number, since it uses less digits than its factorization.

101011102101020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45643 (or 45641 counting only the distinct ones).

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

Adding to 101011102101020 its reverse (20101201110101), we get a palindrome (121112303211121).

The spelling of 101011102101020 in words is "one hundred one trillion, eleven billion, one hundred two million, one hundred one thousand, twenty".