102123044132100 has 288 divisors, whose sum is σ = 303169892551680. Its totient is φ = 26527243599360.

The previous prime is 102123044132099. The next prime is 102123044132113. The reversal of 102123044132100 is 1231440321201.

It is a super-2 number, since 2×102123044132100² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7622822602 + ... + 7622835998.

Almost surely, 2^{102123044132100} is an apocalyptic number.

102123044132100 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 102123044132100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151584946275840).

102123044132100 is an abundant number, since it is smaller than the sum of its proper divisors (201046848419580).

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

102123044132100 is a wasteful number, since it uses less digits than its factorization.

102123044132100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15019 (or 15012 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 102123044132100 its reverse (1231440321201), we get a palindrome (103354484453301).

The spelling of 102123044132100 in words is "one hundred two trillion, one hundred twenty-three billion, forty-four million, one hundred thirty-two thousand, one hundred".