10102103332332 has 144 divisors (see below), whose sum is σ = 26158216968576. Its totient is φ = 3031842528000.

The previous prime is 10102103332249. The next prime is 10102103332367. The reversal of 10102103332332 is 23323330120101.

It is a super-2 number, since 2×10102103332332² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 909029208 + ... + 909040320.

It is an arithmetic number, because the mean of its divisors is an integer number (181654284504).

Almost surely, 2^{10102103332332} is an apocalyptic number.

10102103332332 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 10102103332332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13079108484288).

10102103332332 is an abundant number, since it is smaller than the sum of its proper divisors (16056113636244).

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

10102103332332 is a wasteful number, since it uses less digits than its factorization.

10102103332332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17100 (or 17087 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 10102103332332 its reverse (23323330120101), we get a palindrome (33425433452433).

The spelling of 10102103332332 in words is "ten trillion, one hundred two billion, one hundred three million, three hundred thirty-two thousand, three hundred thirty-two".