101345540010 has 256 divisors, whose sum is σ = 302572247040. Its totient is φ = 21357941760.

The previous prime is 101345539993. The next prime is 101345540011. The reversal of 101345540010 is 10045543101.

It is a happy number.

101345540010 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 (101345540011) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14097637 + ... + 14104823.

It is an arithmetic number, because the mean of its divisors is an integer number (1181922840).

Almost surely, 2^101345540010 is an apocalyptic number.

101345540010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 101345540010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151286123520).

101345540010 is an abundant number, since it is smaller than the sum of its proper divisors (201226707030).

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

101345540010 is a wasteful number, since it uses less digits than its factorization.

101345540010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7413.

The product of its (nonzero) digits is 1200, while the sum is 24.

The spelling of 101345540010 in words is "one hundred one billion, three hundred forty-five million, five hundred forty thousand, ten".