102112234040400 has 240 divisors, whose sum is σ = 337446541039104. Its totient is φ = 26375175383040.

The previous prime is 102112234040371. The next prime is 102112234040527. The reversal of 102112234040400 is 4040432211201.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4744642 + ... + 15057758.

Almost surely, 2^{102112234040400} is an apocalyptic number.

102112234040400 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 102112234040400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168723270519552).

102112234040400 is an abundant number, since it is smaller than the sum of its proper divisors (235334306998704).

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

102112234040400 is a wasteful number, since it uses less digits than its factorization.

102112234040400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10313398 (or 10313387 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 102112234040400 its reverse (4040432211201), we get a palindrome (106152666251601).

The spelling of 102112234040400 in words is "one hundred two trillion, one hundred twelve billion, two hundred thirty-four million, forty thousand, four hundred".