101214072672 has 48 divisors (see below), whose sum is σ = 267446495232. Its totient is φ = 33514588800.

The previous prime is 101214072637. The next prime is 101214072703. The reversal of 101214072672 is 276270412101.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 3476608 + ... + 3505599.

It is an arithmetic number, because the mean of its divisors is an integer number (5571801984).

Almost surely, 2^101214072672 is an apocalyptic number.

101214072672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101214072672 is an abundant number, since it is smaller than the sum of its proper divisors (166232422560).

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

101214072672 is a wasteful number, since it uses less digits than its factorization.

101214072672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6982371 (or 6982363 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 33.

Adding to 101214072672 its reverse (276270412101), we get a palindrome (377484484773).

The spelling of 101214072672 in words is "one hundred one billion, two hundred fourteen million, seventy-two thousand, six hundred seventy-two".