101761000000 has 441 divisors, whose sum is σ = 287341263391. Its totient is φ = 35728000000.

The previous prime is 101760999983. The next prime is 101761000001. The reversal of 101761000000 is 167101.

The square root of 101761000000 is 319000.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 10 ways, for example, as 86233846336 + 15527153664 = 293656^2 + 124608^2 .

It is a super-2 number, since 2×101761000000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101761000001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 3508999986 + ... + 3509000014.

Almost surely, 2^101761000000 is an apocalyptic number.

101761000000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101761000000 is the 319000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101761000000

101761000000 is an abundant number, since it is smaller than the sum of its proper divisors (185580263391).

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

101761000000 is an frugal number, since it uses more digits than its factorization.

101761000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 16.

Multiplying 101761000000 by its sum of digits (16), we get a square (1628176000000 = 1276000²).

101761000000 divided by its sum of digits (16) gives a square (6360062500 = 79750²).

Adding to 101761000000 its reverse (167101), we get a palindrome (101761167101).

The spelling of 101761000000 in words is "one hundred one billion, seven hundred sixty-one million", and thus it is an aban number.