101201000341434 has 128 divisors (see below), whose sum is σ = 246547055370240. Its totient is φ = 27081724744704.

The previous prime is 101201000341433. The next prime is 101201000341471. The reversal of 101201000341434 is 434143000102101.

It is not an unprimeable number, because it can be changed into a prime (101201000341433) 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, 1353444 + ... + 14291039.

It is an arithmetic number, because the mean of its divisors is an integer number (1926148870080).

Almost surely, 2^{101201000341434} is an apocalyptic number.

101201000341434 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 101201000341434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123273527685120).

101201000341434 is an abundant number, since it is smaller than the sum of its proper divisors (145346055028806).

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

101201000341434 is a wasteful number, since it uses less digits than its factorization.

101201000341434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15644684.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 101201000341434 its reverse (434143000102101), we get a palindrome (535344000443535).

The spelling of 101201000341434 in words is "one hundred one trillion, two hundred one billion, three hundred forty-one thousand, four hundred thirty-four".