101221814420496 has 1600 divisors, whose sum is σ = 389874246451200. Its totient is φ = 24897835468800.

The previous prime is 101221814420413. The next prime is 101221814420567. The reversal of 101221814420496 is 694024418122101.

101221814420496 is a `hidden beast` number, since 1 + 0 + 1 + 2 + 2 + 18 + 144 + 2 + 0 + 496 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 16623714220 + ... + 16623720308.

It is an arithmetic number, because the mean of its divisors is an integer number (243671404032).

Almost surely, 2^{101221814420496} is an apocalyptic number.

101221814420496 is a gapful number since it is divisible by the number (16) 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 101221814420496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194937123225600).

101221814420496 is an abundant number, since it is smaller than the sum of its proper divisors (288652432030704).

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

101221814420496 is a wasteful number, since it uses less digits than its factorization.

101221814420496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6223 (or 6190 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 101221814420496 in words is "one hundred one trillion, two hundred twenty-one billion, eight hundred fourteen million, four hundred twenty thousand, four hundred ninety-six".