102010103333120 has 72 divisors (see below), whose sum is σ = 244955418707160. Its totient is φ = 40702285414400.

The previous prime is 102010103333107. The next prime is 102010103333123. The reversal of 102010103333120 is 21333301010201.

It can be written as a sum of positive squares in 4 ways, for example, as 64978302271744 + 37031801061376 = 8060912^2 + 6085376^2 .

It is a super-2 number, since 2×102010103333120² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 102010103333092 and 102010103333101.

It is not an unprimeable number, because it can be changed into a prime (102010103333123) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 98857535 + ... + 99884094.

It is an arithmetic number, because the mean of its divisors is an integer number (3402158593155).

Almost surely, 2^{102010103333120} is an apocalyptic number.

102010103333120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102010103333120 is an abundant number, since it is smaller than the sum of its proper divisors (142945315374040).

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

102010103333120 is an equidigital number, since it uses as much as digits as its factorization.

102010103333120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198742051 (or 198742037 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 102010103333120 its reverse (21333301010201), we get a palindrome (123343404343321).

The spelling of 102010103333120 in words is "one hundred two trillion, ten billion, one hundred three million, three hundred thirty-three thousand, one hundred twenty".