101321030012100 has 288 divisors, whose sum is σ = 295514920584576. Its totient is φ = 26802428620800.

The previous prime is 101321030012053. The next prime is 101321030012107. The reversal of 101321030012100 is 1210030123101.

It is a happy number.

101321030012100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×101321030012100² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 101321030012100.

It is not an unprimeable number, because it can be changed into a prime (101321030012107) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 40970896464 + ... + 40970898936.

It is an arithmetic number, because the mean of its divisors is an integer number (1026093474252).

Almost surely, 2^{101321030012100} is an apocalyptic number.

101321030012100 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 101321030012100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147757460292288).

101321030012100 is an abundant number, since it is smaller than the sum of its proper divisors (194193890572476).

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

101321030012100 is a wasteful number, since it uses less digits than its factorization.

101321030012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4455 (or 4448 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 101321030012100 its reverse (1210030123101), we get a palindrome (102531060135201).

The spelling of 101321030012100 in words is "one hundred one trillion, three hundred twenty-one billion, thirty million, twelve thousand, one hundred".