101009954652768 has 384 divisors, whose sum is σ = 354021013463040. Its totient is φ = 27394473300480.

The previous prime is 101009954652757. The next prime is 101009954652811. The reversal of 101009954652768 is 867256459900101.

101009954652768 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 0 + 9 + 9 + 5 + 46 + 527 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 15451071 + ... + 20994177.

It is an arithmetic number, because the mean of its divisors is an integer number (921929722560).

Almost surely, 2^{101009954652768} is an apocalyptic number.

101009954652768 is a gapful number since it is divisible by the number (18) 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 101009954652768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177010506731520).

101009954652768 is an abundant number, since it is smaller than the sum of its proper divisors (253011058810272).

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

101009954652768 is a wasteful number, since it uses less digits than its factorization.

101009954652768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5543287 (or 5543273 counting only the distinct ones).

The product of its (nonzero) digits is 32659200, while the sum is 63.

The spelling of 101009954652768 in words is "one hundred one trillion, nine billion, nine hundred fifty-four million, six hundred fifty-two thousand, seven hundred sixty-eight".