101346655213440 has 2560 divisors, whose sum is σ = 450643268275200. Its totient is φ = 21135479537664.

The previous prime is 101346655213417. The next prime is 101346655213451. The reversal of 101346655213440 is 44312556643101.

101346655213440 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 4 + 66 + 552 + 1 + 34 + 4 + 0 = 666.

It is a super-2 number, since 2×101346655213440² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 217016392087 + ... + 217016392553.

It is an arithmetic number, because the mean of its divisors is an integer number (176032526670).

Almost surely, 2^{101346655213440} is an apocalyptic number.

101346655213440 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 101346655213440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225321634137600).

101346655213440 is an abundant number, since it is smaller than the sum of its proper divisors (349296613061760).

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

101346655213440 is a wasteful number, since it uses less digits than its factorization.

101346655213440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 954 (or 933 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 101346655213440 in words is "one hundred one trillion, three hundred forty-six billion, six hundred fifty-five million, two hundred thirteen thousand, four hundred forty".