101958130854144 has 864 divisors, whose sum is σ = 324024443957760. Its totient is φ = 31885830144000.

The previous prime is 101958130854119. The next prime is 101958130854187. The reversal of 101958130854144 is 441458031859101.

It is a happy number.

101958130854144 is a `hidden beast` number, since 1 + 0 + 1 + 9 + 58 + 1 + 3 + 0 + 8 + 541 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×101958130854144² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 56611954044 + ... + 56611955844.

Almost surely, 2^{101958130854144} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101958130854144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162012221978880).

101958130854144 is an abundant number, since it is smaller than the sum of its proper divisors (222066313103616).

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

101958130854144 is a wasteful number, since it uses less digits than its factorization.

101958130854144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2289 (or 2263 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 54.

The spelling of 101958130854144 in words is "one hundred one trillion, nine hundred fifty-eight billion, one hundred thirty million, eight hundred fifty-four thousand, one hundred forty-four".