101145863836900 has 81 divisors (see below), whose sum is σ = 221256312998889. Its totient is φ = 40134707091360.

The previous prime is 101145863836861. The next prime is 101145863836903. The reversal of 101145863836900 is 9638368541101.

The square root of 101145863836900 is 10057130.

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., 36412510981284 + 64733352855616 = 6034278^2 + 8045704^2 .

It is a super-2 number, since 2×101145863836900² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101145863836903) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 12772551141 + ... + 12772559059.

Almost surely, 2^{101145863836900} is an apocalyptic number.

101145863836900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101145863836900 is the 10057130-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101145863836900

101145863836900 is an abundant number, since it is smaller than the sum of its proper divisors (120110449161989).

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

101145863836900 is an frugal number, since it uses more digits than its factorization.

101145863836900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16106 (or 8053 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 55.

The spelling of 101145863836900 in words is "one hundred one trillion, one hundred forty-five billion, eight hundred sixty-three million, eight hundred thirty-six thousand, nine hundred".