101071346747672 has 64 divisors (see below), whose sum is σ = 224102380276800. Its totient is φ = 41812808163840.

The previous prime is 101071346747671. The next prime is 101071346747681. The reversal of 101071346747672 is 276747643170101.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101071346747671) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 383123 + ... + 14222850.

It is an arithmetic number, because the mean of its divisors is an integer number (3501599691825).

Almost surely, 2^{101071346747672} is an apocalyptic number.

It is an amenable number.

101071346747672 is an abundant number, since it is smaller than the sum of its proper divisors (123031033529128).

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

101071346747672 is a wasteful number, since it uses less digits than its factorization.

101071346747672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14610276 (or 14610272 counting only the distinct ones).

The product of its (nonzero) digits is 8297856, while the sum is 56.

The spelling of 101071346747672 in words is "one hundred one trillion, seventy-one billion, three hundred forty-six million, seven hundred forty-seven thousand, six hundred seventy-two".