101742021122420 has 192 divisors, whose sum is σ = 253961988166656. Its totient is φ = 33511880908800.

The previous prime is 101742021122327. The next prime is 101742021122429. The reversal of 101742021122420 is 24221120247101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101742021122429) 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, 153613970 + ... + 154274870.

It is an arithmetic number, because the mean of its divisors is an integer number (1322718688368).

Almost surely, 2^{101742021122420} is an apocalyptic number.

101742021122420 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 101742021122420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126980994083328).

101742021122420 is an abundant number, since it is smaller than the sum of its proper divisors (152219967044236).

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

101742021122420 is a wasteful number, since it uses less digits than its factorization.

101742021122420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 661330 (or 661328 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 29.

Adding to 101742021122420 its reverse (24221120247101), we get a palindrome (125963141369521).

The spelling of 101742021122420 in words is "one hundred one trillion, seven hundred forty-two billion, twenty-one million, one hundred twenty-two thousand, four hundred twenty".