101545352214144 has 64 divisors (see below), whose sum is σ = 269742213799680. Its totient is φ = 33846898176000.

The previous prime is 101545352214121. The next prime is 101545352214191. The reversal of 101545352214144 is 441412253545101.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×101545352214144² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101545352214096 and 101545352214105.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2333169 + ... + 14440719.

It is an arithmetic number, because the mean of its divisors is an integer number (4214722090620).

Almost surely, 2^{101545352214144} is an apocalyptic number.

It is an amenable number.

101545352214144 is an abundant number, since it is smaller than the sum of its proper divisors (168196861585536).

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

101545352214144 is a wasteful number, since it uses less digits than its factorization.

101545352214144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12129409 (or 12129397 counting only the distinct ones).

The product of its (nonzero) digits is 384000, while the sum is 42.

The spelling of 101545352214144 in words is "one hundred one trillion, five hundred forty-five billion, three hundred fifty-two million, two hundred fourteen thousand, one hundred forty-four".