101027008000000 has 364 divisors, whose sum is σ = 253872955853320. Its totient is φ = 40196505600000.

The previous prime is 101027007999989. The next prime is 101027008000021. The reversal of 101027008000000 is 800720101.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 12351995911 + ... + 12352004089.

Almost surely, 2^{101027008000000} is an apocalyptic number.

101027008000000 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 101027008000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126936477926660).

101027008000000 is an abundant number, since it is smaller than the sum of its proper divisors (152845947853320).

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

101027008000000 is an frugal number, since it uses more digits than its factorization.

101027008000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8426 (or 8379 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 19.

Adding to 101027008000000 its reverse (800720101), we get a palindrome (101027808720101).

The spelling of 101027008000000 in words is "one hundred one trillion, twenty-seven billion, eight million", and thus it is an aban number.