101512125451440 has 240 divisors, whose sum is σ = 374399515245600. Its totient is φ = 24443838750720.

The previous prime is 101512125451433. The next prime is 101512125451501. The reversal of 101512125451440 is 44154521215101.

101512125451440 is a `hidden beast` number, since 1 + 0 + 1 + 5 + 12 + 125 + 4 + 514 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×101512125451440² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 101512125451395 and 101512125451404.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41830617 + ... + 44190776.

It is an arithmetic number, because the mean of its divisors is an integer number (1559997980190).

Almost surely, 2^{101512125451440} is an apocalyptic number.

101512125451440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101512125451440 is an abundant number, since it is smaller than the sum of its proper divisors (272887389794160).

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

101512125451440 is a wasteful number, since it uses less digits than its factorization.

101512125451440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86021572 (or 86021563 counting only the distinct ones).

The product of its (nonzero) digits is 32000, while the sum is 36.

Adding to 101512125451440 its reverse (44154521215101), we get a palindrome (145666646666541).

The spelling of 101512125451440 in words is "one hundred one trillion, five hundred twelve billion, one hundred twenty-five million, four hundred fifty-one thousand, four hundred forty".