101004111102400 has 168 divisors, whose sum is σ = 271196539810560. Its totient is φ = 36719370624000.

The previous prime is 101004111102373. The next prime is 101004111102439. The reversal of 101004111102400 is 4201111400101.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 68242215 + ... + 69706585.

It is an arithmetic number, because the mean of its divisors is an integer number (1614265117920).

Almost surely, 2^{101004111102400} is an apocalyptic number.

101004111102400 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 101004111102400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135598269905280).

101004111102400 is an abundant number, since it is smaller than the sum of its proper divisors (170192428708160).

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

101004111102400 is a wasteful number, since it uses less digits than its factorization.

101004111102400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1468323 (or 1468308 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 101004111102400 its reverse (4201111400101), we get a palindrome (105205222502501).

The spelling of 101004111102400 in words is "one hundred one trillion, four billion, one hundred eleven million, one hundred two thousand, four hundred".