10332120112100 has 36 divisors (see below), whose sum is σ = 23739565390884. Its totient is φ = 3889739335680.

The previous prime is 10332120112099. The next prime is 10332120112103. The reversal of 10332120112100 is 121102123301.

10332120112100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 1453341158116 + 8878778953984 = 1205546^2 + 2979728^2 .

It is a super-2 number, since 2×10332120112100² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is not an unprimeable number, because it can be changed into a prime (10332120112103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3038857157 + ... + 3038860556.

It is an arithmetic number, because the mean of its divisors is an integer number (659432371969).

Almost surely, 2^{10332120112100} is an apocalyptic number.

10332120112100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10332120112100 is an abundant number, since it is smaller than the sum of its proper divisors (13407445278784).

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

10332120112100 is a wasteful number, since it uses less digits than its factorization.

10332120112100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6077717744 (or 6077717737 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 10332120112100 its reverse (121102123301), we get a palindrome (10453222235401).

It can be divided in two parts, 103321201 and 12100, that added together give a palindrome (103333301).

The spelling of 10332120112100 in words is "ten trillion, three hundred thirty-two billion, one hundred twenty million, one hundred twelve thousand, one hundred".