220101060110400 has 3360 divisors, whose sum is σ = 997327643136000. Its totient is φ = 47460349440000.

The previous prime is 220101060110297. The next prime is 220101060110423. The reversal of 220101060110400 is 4011060101022.

220101060110400 is a `hidden beast` number, since 2 + 2 + 0 + 1 + 0 + 10 + 601 + 10 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3360).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 293077310025 + ... + 293077310775.

Almost surely, 2^{220101060110400} is an apocalyptic number.

220101060110400 is a gapful number since it is divisible by the number (20) 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 220101060110400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498663821568000).

220101060110400 is an abundant number, since it is smaller than the sum of its proper divisors (777226583025600).

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

220101060110400 is a wasteful number, since it uses less digits than its factorization.

220101060110400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1172 (or 1134 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The spelling of 220101060110400 in words is "two hundred twenty trillion, one hundred one billion, sixty million, one hundred ten thousand, four hundred".