129823892100 has 252 divisors, whose sum is σ = 482725950784. Its totient is φ = 29673915840.

The previous prime is 129823892053. The next prime is 129823892101. The reversal of 129823892100 is 1298328921.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (252).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (129823892101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 383097 + ... + 637503.

Almost surely, 2^129823892100 is an apocalyptic number.

129823892100 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 129823892100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241362975392).

129823892100 is an abundant number, since it is smaller than the sum of its proper divisors (352902058684).

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

129823892100 is a wasteful number, since it uses less digits than its factorization.

129823892100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254446 (or 254424 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 129823892100 in words is "one hundred twenty-nine billion, eight hundred twenty-three million, eight hundred ninety-two thousand, one hundred".