101406325020 has 768 divisors, whose sum is σ = 391983943680. Its totient is φ = 18911232000.

The previous prime is 101406324991. The next prime is 101406325051. The reversal of 101406325020 is 20523604101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 442822266 + ... + 442822494.

It is an arithmetic number, because the mean of its divisors is an integer number (510395760).

Almost surely, 2^101406325020 is an apocalyptic number.

101406325020 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 101406325020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195991971840).

101406325020 is an abundant number, since it is smaller than the sum of its proper divisors (290577618660).

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

101406325020 is a wasteful number, since it uses less digits than its factorization.

101406325020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 101406325020 its reverse (20523604101), we get a palindrome (121929929121).

It can be divided in two parts, 101406 and 325020, that added together give a triangular number (426426 = T₉₂₃).

The spelling of 101406325020 in words is "one hundred one billion, four hundred six million, three hundred twenty-five thousand, twenty".