101419150000 has 480 divisors, whose sum is σ = 300370775040. Its totient is φ = 32400000000.

The previous prime is 101419149991. The next prime is 101419150039. The reversal of 101419150000 is 51914101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 671649925 + ... + 671650075.

It is an arithmetic number, because the mean of its divisors is an integer number (625772448).

Almost surely, 2^101419150000 is an apocalyptic number.

101419150000 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 101419150000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150185387520).

101419150000 is an abundant number, since it is smaller than the sum of its proper divisors (198951625040).

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

101419150000 is a wasteful number, since it uses less digits than its factorization.

101419150000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 22.

The spelling of 101419150000 in words is "one hundred one billion, four hundred nineteen million, one hundred fifty thousand".