10042210501200 has 180 divisors, whose sum is σ = 36683431767840. Its totient is φ = 2536979477760.

The previous prime is 10042210501187. The next prime is 10042210501229. The reversal of 10042210501200 is 210501224001.

10042210501200 is a `hidden beast` number, since 100 + 42 + 2 + 1 + 0 + 501 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 73339572 + ... + 73476371.

Almost surely, 2^{10042210501200} is an apocalyptic number.

10042210501200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10042210501200 is an abundant number, since it is smaller than the sum of its proper divisors (26641221266640).

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

10042210501200 is a wasteful number, since it uses less digits than its factorization.

10042210501200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146815986 (or 146815972 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

Adding to 10042210501200 its reverse (210501224001), we get a palindrome (10252711725201).

The spelling of 10042210501200 in words is "ten trillion, forty-two billion, two hundred ten million, five hundred one thousand, two hundred".