101252376755776 has 63 divisors (see below), whose sum is σ = 202734710699313. Its totient is φ = 50173661045760.

The previous prime is 101252376755759. The next prime is 101252376755797. The reversal of 101252376755776 is 677557673252101.

It is a happy number.

The square root of 101252376755776 is 10062424.

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

It can be written as a sum of positive squares in only one way, i.e., 1784147918400 + 99468228837376 = 1335720^2 + 9973376^2 .

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 9096425731 + ... + 9096436861.

Almost surely, 2^{101252376755776} is an apocalyptic number.

101252376755776 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

101252376755776 is the 10062424-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101252376755776

101252376755776 is an abundant number, since it is smaller than the sum of its proper divisors (101482333943537).

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

101252376755776 is an frugal number, since it uses more digits than its factorization.

101252376755776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22500 (or 11246 counting only the distinct ones).

The product of its (nonzero) digits is 129654000, while the sum is 64.

101252376755776 divided by its sum of digits (64) gives a square (1582068386809 = 1257803²).

The spelling of 101252376755776 in words is "one hundred one trillion, two hundred fifty-two billion, three hundred seventy-six million, seven hundred fifty-five thousand, seven hundred seventy-six".