101356138624224 has 192 divisors, whose sum is σ = 298498398912000. Its totient is φ = 29843096094720.

The previous prime is 101356138624183. The next prime is 101356138624229. The reversal of 101356138624224 is 422426831653101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101356138624229) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26870277 + ... + 30409275.

It is an arithmetic number, because the mean of its divisors is an integer number (1554679161000).

Almost surely, 2^{101356138624224} 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 101356138624224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149249199456000).

101356138624224 is an abundant number, since it is smaller than the sum of its proper divisors (197142260287776).

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

101356138624224 is a wasteful number, since it uses less digits than its factorization.

101356138624224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3539793 (or 3539785 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 48.

The spelling of 101356138624224 in words is "one hundred one trillion, three hundred fifty-six billion, one hundred thirty-eight million, six hundred twenty-four thousand, two hundred twenty-four".