101414133430140 has 192 divisors, whose sum is σ = 289274568952320. Its totient is φ = 26539211857920.

The previous prime is 101414133430121. The next prime is 101414133430163. The reversal of 101414133430140 is 41034331414101.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 101414133430098 and 101414133430107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5525743204 + ... + 5525761556.

It is an arithmetic number, because the mean of its divisors is an integer number (1506638379960).

Almost surely, 2^{101414133430140} is an apocalyptic number.

101414133430140 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 101414133430140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144637284476160).

101414133430140 is an abundant number, since it is smaller than the sum of its proper divisors (187860435522180).

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

101414133430140 is a wasteful number, since it uses less digits than its factorization.

101414133430140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21052 (or 21050 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

Adding to 101414133430140 its reverse (41034331414101), we get a palindrome (142448464844241).

The spelling of 101414133430140 in words is "one hundred one trillion, four hundred fourteen billion, one hundred thirty-three million, four hundred thirty thousand, one hundred forty".