101972449260216 has 256 divisors, whose sum is σ = 310903668057600. Its totient is φ = 30835816998912.

The previous prime is 101972449260203. The next prime is 101972449260217. The reversal of 101972449260216 is 612062944279101.

101972449260216 is a `hidden beast` number, since 1 + 0 + 1 + 9 + 7 + 24 + 4 + 9 + 2 + 602 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101972449260217) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11030215 + ... + 18044681.

It is an arithmetic number, because the mean of its divisors is an integer number (1214467453350).

Almost surely, 2^{101972449260216} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101972449260216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155451834028800).

101972449260216 is an abundant number, since it is smaller than the sum of its proper divisors (208931218797384).

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

101972449260216 is a wasteful number, since it uses less digits than its factorization.

101972449260216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7014643 (or 7014633 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 101972449260216 in words is "one hundred one trillion, nine hundred seventy-two billion, four hundred forty-nine million, two hundred sixty thousand, two hundred sixteen".