101340132211104 has 192 divisors, whose sum is σ = 289315377421056. Its totient is φ = 30929774690304.

The previous prime is 101340132211103. The next prime is 101340132211211. The reversal of 101340132211104 is 401112231043101.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (101340132211103) 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, 493053382 + ... + 493258874.

It is an arithmetic number, because the mean of its divisors is an integer number (1506850924068).

Almost surely, 2^{101340132211104} 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 101340132211104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144657688710528).

101340132211104 is an abundant number, since it is smaller than the sum of its proper divisors (187975245209952).

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

101340132211104 is a wasteful number, since it uses less digits than its factorization.

101340132211104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213727 (or 213719 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 101340132211104 its reverse (401112231043101), we get a palindrome (502452363254205).

The spelling of 101340132211104 in words is "one hundred one trillion, three hundred forty billion, one hundred thirty-two million, two hundred eleven thousand, one hundred four".