101649755321160 has 128 divisors (see below), whose sum is σ = 311024350644480. Its totient is φ = 26567651755008.

The previous prime is 101649755321137. The next prime is 101649755321167. The reversal of 101649755321160 is 61123557946101.

101649755321160 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (101649755321167) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2113927 + ... + 14414166.

It is an arithmetic number, because the mean of its divisors is an integer number (2429877739410).

Almost surely, 2^{101649755321160} is an apocalyptic number.

101649755321160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101649755321160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155512175322240).

101649755321160 is an abundant number, since it is smaller than the sum of its proper divisors (209374595323320).

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

101649755321160 is a wasteful number, since it uses less digits than its factorization.

101649755321160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16529127 (or 16529123 counting only the distinct ones).

The product of its (nonzero) digits is 1360800, while the sum is 51.

The spelling of 101649755321160 in words is "one hundred one trillion, six hundred forty-nine billion, seven hundred fifty-five million, three hundred twenty-one thousand, one hundred sixty".