101068426668000 has 384 divisors, whose sum is σ = 372851814666240. Its totient is φ = 23711066880000.

The previous prime is 101068426667963. The next prime is 101068426668059. The reversal of 101068426668000 is 866624860101.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8257515 + ... + 16441514.

It is an arithmetic number, because the mean of its divisors is an integer number (970968267360).

Almost surely, 2^{101068426668000} is an apocalyptic number.

101068426668000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101068426668000 is an abundant number, since it is smaller than the sum of its proper divisors (271783387998240).

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

101068426668000 is a wasteful number, since it uses less digits than its factorization.

101068426668000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24699099 (or 24699081 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 48.

The spelling of 101068426668000 in words is "one hundred one trillion, sixty-eight billion, four hundred twenty-six million, six hundred sixty-eight thousand".