101078057264340 has 192 divisors, whose sum is σ = 310221815500800. Its totient is φ = 24438000953856.

The previous prime is 101078057264287. The next prime is 101078057264357. The reversal of 101078057264340 is 43462750870101.

It is a self number, because there is not a number n which added to its sum of digits gives 101078057264340.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 52576981 + ... + 54465539.

It is an arithmetic number, because the mean of its divisors is an integer number (1615738622400).

Almost surely, 2^{101078057264340} is an apocalyptic number.

101078057264340 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 101078057264340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155110907750400).

101078057264340 is an abundant number, since it is smaller than the sum of its proper divisors (209143758236460).

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

101078057264340 is a wasteful number, since it uses less digits than its factorization.

101078057264340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1889806 (or 1889804 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 48.

The spelling of 101078057264340 in words is "one hundred one trillion, seventy-eight billion, fifty-seven million, two hundred sixty-four thousand, three hundred forty".