101398550279040 has 2304 divisors, whose sum is σ = 446461967016000. Its totient is φ = 21059739058176.

The previous prime is 101398550279029. The next prime is 101398550279087. The reversal of 101398550279040 is 40972055893101.

It is a happy number.

101398550279040 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 9 + 8 + 5 + 502 + 7 + 90 + 40 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 24415733604 + ... + 24415737756.

Almost surely, 2^{101398550279040} is an apocalyptic number.

101398550279040 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 101398550279040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223230983508000).

101398550279040 is an abundant number, since it is smaller than the sum of its proper divisors (345063416736960).

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

101398550279040 is a wasteful number, since it uses less digits than its factorization.

101398550279040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4397 (or 4375 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 54.

The spelling of 101398550279040 in words is "one hundred one trillion, three hundred ninety-eight billion, five hundred fifty million, two hundred seventy-nine thousand, forty".