101402043042400 has 72 divisors (see below), whose sum is σ = 247553421910704. Its totient is φ = 40559885836800.

The previous prime is 101402043042379. The next prime is 101402043042427. The reversal of 101402043042400 is 4240340204101.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 33943629 + ... + 36809971.

It is an arithmetic number, because the mean of its divisors is an integer number (3438241970982).

Almost surely, 2^{101402043042400} is an apocalyptic number.

101402043042400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101402043042400 is an abundant number, since it is smaller than the sum of its proper divisors (146151378868304).

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

101402043042400 is a wasteful number, since it uses less digits than its factorization.

101402043042400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2910584 (or 2910571 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 101402043042400 its reverse (4240340204101), we get a palindrome (105642383246501).

The spelling of 101402043042400 in words is "one hundred one trillion, four hundred two billion, forty-three million, forty-two thousand, four hundred".