102112433444100 has 144 divisors (see below), whose sum is σ = 297576142657920. Its totient is φ = 27034265702400.

The previous prime is 102112433444071. The next prime is 102112433444111. The reversal of 102112433444100 is 1444334211201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 22145785 + ... + 26356415.

It is an arithmetic number, because the mean of its divisors is an integer number (2066500990680).

Almost surely, 2^{102112433444100} is an apocalyptic number.

102112433444100 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 102112433444100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148788071328960).

102112433444100 is an abundant number, since it is smaller than the sum of its proper divisors (195463709213820).

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

102112433444100 is a wasteful number, since it uses less digits than its factorization.

102112433444100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4211230 (or 4211223 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 102112433444100 its reverse (1444334211201), we get a palindrome (103556767655301).

The spelling of 102112433444100 in words is "one hundred two trillion, one hundred twelve billion, four hundred thirty-three million, four hundred forty-four thousand, one hundred".