1021325100100 has 72 divisors (see below), whose sum is σ = 2293159869000. Its totient is φ = 394363468800.

The previous prime is 1021325100079. The next prime is 1021325100119. The reversal of 1021325100100 is 10015231201.

It can be written as a sum of positive squares in 12 ways, for example, as 267262116676 + 754062983424 = 516974^2 + 868368^2 .

It is a super-3 number, since 3×1021325100100³ (a number of 37 digits) contains 333 as substring.

It is a nialpdrome in base 16.

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 23 ways as a sum of consecutive naturals, for example, 15572176 + ... + 15637624.

It is an arithmetic number, because the mean of its divisors is an integer number (31849442625).

Almost surely, 2^{1021325100100} is an apocalyptic number.

1021325100100 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 1021325100100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1146579934500).

1021325100100 is an abundant number, since it is smaller than the sum of its proper divisors (1271834768900).

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

1021325100100 is a wasteful number, since it uses less digits than its factorization.

1021325100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70873 (or 70866 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 16.

The spelling of 1021325100100 in words is "one trillion, twenty-one billion, three hundred twenty-five million, one hundred thousand, one hundred".