101020148280000 has 840 divisors, whose sum is σ = 377853374815488. Its totient is φ = 25747501824000.

The previous prime is 101020148279971. The next prime is 101020148280017. The reversal of 101020148280000 is 82841020101.

101020148280000 is a `hidden beast` number, since 1 + 0 + 102 + 0 + 1 + 482 + 80 + 0 + 0 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 12776036047 + ... + 12776043953.

Almost surely, 2^{101020148280000} is an apocalyptic number.

101020148280000 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 101020148280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188926687407744).

101020148280000 is an abundant number, since it is smaller than the sum of its proper divisors (276833226535488).

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

101020148280000 is a wasteful number, since it uses less digits than its factorization.

101020148280000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9511 (or 9483 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The spelling of 101020148280000 in words is "one hundred one trillion, twenty billion, one hundred forty-eight million, two hundred eighty thousand".