101144233431020 has 192 divisors, whose sum is σ = 248744074715136. Its totient is φ = 34204650762240.

The previous prime is 101144233431013. The next prime is 101144233431089. The reversal of 101144233431020 is 20134332441101.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 50524397 + ... + 52488123.

It is an arithmetic number, because the mean of its divisors is an integer number (1295542055808).

Almost surely, 2^{101144233431020} is an apocalyptic number.

101144233431020 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 101144233431020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124372037357568).

101144233431020 is an abundant number, since it is smaller than the sum of its proper divisors (147599841284116).

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

101144233431020 is a wasteful number, since it uses less digits than its factorization.

101144233431020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1964080 (or 1964078 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

Adding to 101144233431020 its reverse (20134332441101), we get a palindrome (121278565872121).

The spelling of 101144233431020 in words is "one hundred one trillion, one hundred forty-four billion, two hundred thirty-three million, four hundred thirty-one thousand, twenty".