101331122301020 has 24 divisors (see below), whose sum is σ = 212813875751568. Its totient is φ = 40528921507200.

The previous prime is 101331122300999. The next prime is 101331122301061. The reversal of 101331122301020 is 20103221133101.

It is a happy number.

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 = 101331122300983 and 101331122301001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 220227761 + ... + 220687400.

It is an arithmetic number, because the mean of its divisors is an integer number (8867244822982).

Almost surely, 2^{101331122301020} is an apocalyptic number.

101331122301020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101331122301020 is an abundant number, since it is smaller than the sum of its proper divisors (111482753450548).

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

101331122301020 is a wasteful number, since it uses less digits than its factorization.

101331122301020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440926661 (or 440926659 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 101331122301020 its reverse (20103221133101), we get a palindrome (121434343434121).

The spelling of 101331122301020 in words is "one hundred one trillion, three hundred thirty-one billion, one hundred twenty-two million, three hundred one thousand, twenty".