101161146240 has 640 divisors, whose sum is σ = 450425733120. Its totient is φ = 21019668480.

The previous prime is 101161146239. The next prime is 101161146257. The reversal of 101161146240 is 42641161101.

101161146240 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 611 + 4 + 6 + 2 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×101161146240² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3979009 + ... + 4004351.

It is an arithmetic number, because the mean of its divisors is an integer number (703790208).

Almost surely, 2^101161146240 is an apocalyptic number.

101161146240 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 101161146240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225212866560).

101161146240 is an abundant number, since it is smaller than the sum of its proper divisors (349264586880).

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

101161146240 is a wasteful number, since it uses less digits than its factorization.

101161146240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25392 (or 25371 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The spelling of 101161146240 in words is "one hundred one billion, one hundred sixty-one million, one hundred forty-six thousand, two hundred forty".