101434120220 has 96 divisors (see below), whose sum is σ = 226254422016. Its totient is φ = 38120544000.

The previous prime is 101434120211. The next prime is 101434120223. The reversal of 101434120220 is 22021434101.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 101434120192 and 101434120201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101434120223) 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, 5891825 + ... + 5909015.

It is an arithmetic number, because the mean of its divisors is an integer number (2356816896).

Almost surely, 2^101434120220 is an apocalyptic number.

101434120220 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 101434120220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113127211008).

101434120220 is an abundant number, since it is smaller than the sum of its proper divisors (124820301796).

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

101434120220 is a wasteful number, since it uses less digits than its factorization.

101434120220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17451 (or 17449 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 101434120220 its reverse (22021434101), we get a palindrome (123455554321).

The spelling of 101434120220 in words is "one hundred one billion, four hundred thirty-four million, one hundred twenty thousand, two hundred twenty".