101020340533032 has 128 divisors (see below), whose sum is σ = 281267834400000. Its totient is φ = 33594770055168.

The previous prime is 101020340533009. The next prime is 101020340533093. The reversal of 101020340533032 is 230335043020101.

101020340533032 is a `hidden beast` number, since 1 + 0 + 10 + 2 + 0 + 340 + 5 + 3 + 303 + 2 = 666.

It is a super-2 number, since 2×101020340533032² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 101020340532987 and 101020340533005.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 970466844 + ... + 970570932.

It is an arithmetic number, because the mean of its divisors is an integer number (2197404956250).

Almost surely, 2^{101020340533032} is an apocalyptic number.

101020340533032 is a gapful number since it is divisible by the number (12) 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 101020340533032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140633917200000).

101020340533032 is an abundant number, since it is smaller than the sum of its proper divisors (180247493866968).

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

101020340533032 is a wasteful number, since it uses less digits than its factorization.

101020340533032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114560 (or 114550 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

Adding to 101020340533032 its reverse (230335043020101), we get a palindrome (331355383553133).

The spelling of 101020340533032 in words is "one hundred one trillion, twenty billion, three hundred forty million, five hundred thirty-three thousand, thirty-two".