101400742560 has 384 divisors, whose sum is σ = 349505694720. Its totient is φ = 24562630656.

The previous prime is 101400742543. The next prime is 101400742603. The reversal of 101400742560 is 65247004101.

It is a super-2 number, since 2×101400742560² (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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 141029881 + ... + 141030599.

It is an arithmetic number, because the mean of its divisors is an integer number (910171080).

Almost surely, 2^101400742560 is an apocalyptic number.

101400742560 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 101400742560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174752847360).

101400742560 is an abundant number, since it is smaller than the sum of its proper divisors (248104952160).

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

101400742560 is a wasteful number, since it uses less digits than its factorization.

101400742560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1080 (or 1072 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

Adding to 101400742560 its reverse (65247004101), we get a palindrome (166647746661).

The spelling of 101400742560 in words is "one hundred one billion, four hundred million, seven hundred forty-two thousand, five hundred sixty".