102126373800 has 192 divisors, whose sum is σ = 345552168960. Its totient is φ = 24745056000.

The previous prime is 102126373793. The next prime is 102126373889. The reversal of 102126373800 is 8373621201.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 21137385 + ... + 21142215.

It is an arithmetic number, because the mean of its divisors is an integer number (1799750880).

Almost surely, 2^102126373800 is an apocalyptic number.

102126373800 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 102126373800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172776084480).

102126373800 is an abundant number, since it is smaller than the sum of its proper divisors (243425795160).

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

102126373800 is a wasteful number, since it uses less digits than its factorization.

102126373800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8064 (or 8055 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The spelling of 102126373800 in words is "one hundred two billion, one hundred twenty-six million, three hundred seventy-three thousand, eight hundred".