101355693280000 has 540 divisors, whose sum is σ = 260618708617344. Its totient is φ = 39326412800000.

The previous prime is 101355693279991. The next prime is 101355693280057. The reversal of 101355693280000 is 82396553101.

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 51371359014 + ... + 51371360986.

Almost surely, 2^{101355693280000} is an apocalyptic number.

101355693280000 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 101355693280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130309354308672).

101355693280000 is an abundant number, since it is smaller than the sum of its proper divisors (159263015337344).

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

101355693280000 is an frugal number, since it uses more digits than its factorization.

101355693280000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2282 (or 2212 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 43.

The spelling of 101355693280000 in words is "one hundred one trillion, three hundred fifty-five billion, six hundred ninety-three million, two hundred eighty thousand".