100121650140000 has 480 divisors, whose sum is σ = 332723628357120. Its totient is φ = 26349463296000.

The previous prime is 100121650139983. The next prime is 100121650140011. The reversal of 100121650140000 is 41056121001.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 17997777219 + ... + 17997782781.

It is an arithmetic number, because the mean of its divisors is an integer number (693174225744).

Almost surely, 2^{100121650140000} is an apocalyptic number.

100121650140000 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 100121650140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166361814178560).

100121650140000 is an abundant number, since it is smaller than the sum of its proper divisors (232601978217120).

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

100121650140000 is an equidigital number, since it uses as much as digits as its factorization.

100121650140000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9472 (or 9449 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 21.

The spelling of 100121650140000 in words is "one hundred trillion, one hundred twenty-one billion, six hundred fifty million, one hundred forty thousand".