101214968449 has 27 divisors (see below), whose sum is σ = 120422796993. Its totient is φ = 84822014088.

The previous prime is 101214968389. The next prime is 101214968461. The reversal of 101214968449 is 944869412101.

The square root of 101214968449 is 318143.

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

It is not a de Polignac number, because 101214968449 - 2⁷ = 101214968321 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101214968479) 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 26 ways as a sum of consecutive naturals, for example, 104668564 + ... + 104669530.

Almost surely, 2^101214968449 is an apocalyptic number.

101214968449 is the 318143-rd square number.

101214968449 is the 159072-nd centered octagonal number.

It is an amenable number.

101214968449 is a deficient number, since it is larger than the sum of its proper divisors (19207828544).

101214968449 is an frugal number, since it uses more digits than its factorization.

101214968449 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2042 (or 1021 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 49.

Multiplying 101214968449 by its sum of digits (49), we get a square (4959533454001 = 2227001²).

101214968449 divided by its sum of digits (49) gives a square (2065611601 = 45449²).

The spelling of 101214968449 in words is "one hundred one billion, two hundred fourteen million, nine hundred sixty-eight thousand, four hundred forty-nine".