101426634243600 has 240 divisors, whose sum is σ = 326458274285568. Its totient is φ = 26917960849920.

The previous prime is 101426634243547. The next prime is 101426634243611. The reversal of 101426634243600 is 6342436624101.

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

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, 214238347 + ... + 214711253.

Almost surely, 2^{101426634243600} is an apocalyptic number.

101426634243600 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 101426634243600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163229137142784).

101426634243600 is an abundant number, since it is smaller than the sum of its proper divisors (225031640041968).

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

101426634243600 is a wasteful number, since it uses less digits than its factorization.

101426634243600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473782 (or 473771 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 42.

The spelling of 101426634243600 in words is "one hundred one trillion, four hundred twenty-six billion, six hundred thirty-four million, two hundred forty-three thousand, six hundred".