101149441600 has 63 divisors (see below), whose sum is σ = 248922151761. Its totient is φ = 40454688000.

The previous prime is 101149441583. The next prime is 101149441693. The reversal of 101149441600 is 6144941101.

The square root of 101149441600 is 318040.

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., 36413798976 + 64735642624 = 190824^2 + 254432^2 .

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, 12717625 + ... + 12725575.

Almost surely, 2^101149441600 is an apocalyptic number.

101149441600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101149441600 is the 318040-th square number.

It is an amenable number.

101149441600 is an abundant number, since it is smaller than the sum of its proper divisors (147772710161).

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

101149441600 is an frugal number, since it uses more digits than its factorization.

101149441600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15924 (or 7958 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 31.

The spelling of 101149441600 in words is "one hundred one billion, one hundred forty-nine million, four hundred forty-one thousand, six hundred".