101123320401020 has 48 divisors (see below), whose sum is σ = 212746912076160. Its totient is φ = 40375439545344.

The previous prime is 101123320401013. The next prime is 101123320401029. The reversal of 101123320401020 is 20104023321101.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 101123320400983 and 101123320401001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101123320401029) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 406452221 + ... + 406700939.

It is an arithmetic number, because the mean of its divisors is an integer number (4432227334920).

Almost surely, 2^{101123320401020} is an apocalyptic number.

101123320401020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101123320401020 is an abundant number, since it is smaller than the sum of its proper divisors (111623591675140).

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

101123320401020 is a wasteful number, since it uses less digits than its factorization.

101123320401020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285782 (or 285780 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 101123320401020 its reverse (20104023321101), we get a palindrome (121227343722121).

The spelling of 101123320401020 in words is "one hundred one trillion, one hundred twenty-three billion, three hundred twenty million, four hundred one thousand, twenty".