101087418941952 has 160 divisors (see below), whose sum is σ = 273748548471552. Its totient is φ = 33143172009984.

The previous prime is 101087418941923. The next prime is 101087418941959. The reversal of 101087418941952 is 259149814780101.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (101087418941959) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27193263 + ... + 30686289.

Almost surely, 2^{101087418941952} is an apocalyptic number.

101087418941952 is a gapful number since it is divisible by the number (12) 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 101087418941952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136874274235776).

101087418941952 is an abundant number, since it is smaller than the sum of its proper divisors (172661129529600).

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

101087418941952 is an equidigital number, since it uses as much as digits as its factorization.

101087418941952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3493358 (or 3493342 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 60.

The spelling of 101087418941952 in words is "one hundred one trillion, eighty-seven billion, four hundred eighteen million, nine hundred forty-one thousand, nine hundred fifty-two".