101969403120 has 400 divisors, whose sum is σ = 385360335360. Its totient is φ = 24839405568.

The previous prime is 101969403119. The next prime is 101969403131. The reversal of 101969403120 is 21304969101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 79 ways as a sum of consecutive naturals, for example, 8165041 + ... + 8177519.

Almost surely, 2^101969403120 is an apocalyptic number.

101969403120 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 101969403120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192680167680).

101969403120 is an abundant number, since it is smaller than the sum of its proper divisors (283390932240).

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

101969403120 is a wasteful number, since it uses less digits than its factorization.

101969403120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12614 (or 12599 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The spelling of 101969403120 in words is "one hundred one billion, nine hundred sixty-nine million, four hundred three thousand, one hundred twenty".