101013768192 has 96 divisors (see below), whose sum is σ = 269484546240. Its totient is φ = 33648721920.

The previous prime is 101013768179. The next prime is 101013768199. The reversal of 101013768192 is 291867310101.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×101013768192² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 101013768192.

It is not an unprimeable number, because it can be changed into a prime (101013768199) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10950142 + ... + 10959362.

It is an arithmetic number, because the mean of its divisors is an integer number (2807130690).

Almost surely, 2^101013768192 is an apocalyptic number.

101013768192 is a gapful number since it is divisible by the number (12) 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 101013768192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134742273120).

101013768192 is an abundant number, since it is smaller than the sum of its proper divisors (168470778048).

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

101013768192 is an equidigital number, since it uses as much as digits as its factorization.

101013768192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11029 (or 11009 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 39.

The spelling of 101013768192 in words is "one hundred one billion, thirteen million, seven hundred sixty-eight thousand, one hundred ninety-two".