101287706688 has 224 divisors, whose sum is σ = 345886552320. Its totient is φ = 28464721920.

The previous prime is 101287706671. The next prime is 101287706701. The reversal of 101287706688 is 886607782101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×101287706688² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 669220 + ... + 806492.

Almost surely, 2^101287706688 is an apocalyptic number.

101287706688 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 101287706688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172943276160).

101287706688 is an abundant number, since it is smaller than the sum of its proper divisors (244598845632).

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

101287706688 is a wasteful number, since it uses less digits than its factorization.

101287706688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137362 (or 137346 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 54.

The spelling of 101287706688 in words is "one hundred one billion, two hundred eighty-seven million, seven hundred six thousand, six hundred eighty-eight".