101354242080 has 1728 divisors, whose sum is σ = 450429299712. Its totient is φ = 18951045120.

The previous prime is 101354242057. The next prime is 101354242103. The reversal of 101354242080 is 80242453101.

It is an interprime number because it is at equal distance from previous prime (101354242057) and next prime (101354242103).

It is a super-2 number, since 2×101354242080² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2739303822 + ... + 2739303858.

It is an arithmetic number, because the mean of its divisors is an integer number (260665104).

Almost surely, 2^101354242080 is an apocalyptic number.

101354242080 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 101354242080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225214649856).

101354242080 is an abundant number, since it is smaller than the sum of its proper divisors (349075057632).

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

101354242080 is a wasteful number, since it uses less digits than its factorization.

101354242080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

Adding to 101354242080 its reverse (80242453101), we get a palindrome (181596695181).

The spelling of 101354242080 in words is "one hundred one billion, three hundred fifty-four million, two hundred forty-two thousand, eighty".