101544215040 has 480 divisors, whose sum is σ = 384420681216. Its totient is φ = 24660541440.

The previous prime is 101544215029. The next prime is 101544215063. The reversal of 101544215040 is 40512445101.

101544215040 is a `hidden beast` number, since 1 + 0 + 154 + 4 + 2 + 1 + 504 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×101544215040² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101544214995 and 101544215013.

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, 12137899 + ... + 12146261.

Almost surely, 2^101544215040 is an apocalyptic number.

101544215040 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 101544215040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192210340608).

101544215040 is an abundant number, since it is smaller than the sum of its proper divisors (282876466176).

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

101544215040 is a wasteful number, since it uses less digits than its factorization.

101544215040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8440 (or 8421 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The spelling of 101544215040 in words is "one hundred one billion, five hundred forty-four million, two hundred fifteen thousand, forty".