101009117280016 has 80 divisors (see below), whose sum is σ = 220649381107200. Its totient is φ = 44378563737600.

The previous prime is 101009117279921. The next prime is 101009117280023. The reversal of 101009117280016 is 610082711900101.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6643081 + ... + 15689128.

It is an arithmetic number, because the mean of its divisors is an integer number (2758117263840).

Almost surely, 2^{101009117280016} is an apocalyptic number.

101009117280016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

101009117280016 is an abundant number, since it is smaller than the sum of its proper divisors (119640263827184).

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

101009117280016 is a wasteful number, since it uses less digits than its factorization.

101009117280016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22333088 (or 22333082 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 37.

The spelling of 101009117280016 in words is "one hundred one trillion, nine billion, one hundred seventeen million, two hundred eighty thousand, sixteen".