101149265754768 has 320 divisors, whose sum is σ = 349309334200320. Its totient is φ = 24414090854400.

The previous prime is 101149265754743. The next prime is 101149265754781. The reversal of 101149265754768 is 867457562941101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 101149265754699 and 101149265754708.

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, 5225113 + ... + 15152568.

It is an arithmetic number, because the mean of its divisors is an integer number (1091591669376).

Almost surely, 2^{101149265754768} is an apocalyptic number.

It is an amenable number.

101149265754768 is an abundant number, since it is smaller than the sum of its proper divisors (248160068445552).

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

101149265754768 is a wasteful number, since it uses less digits than its factorization.

101149265754768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20377806 (or 20377800 counting only the distinct ones).

The product of its (nonzero) digits is 101606400, while the sum is 66.

The spelling of 101149265754768 in words is "one hundred one trillion, one hundred forty-nine billion, two hundred sixty-five million, seven hundred fifty-four thousand, seven hundred sixty-eight".