10011200210442 has 144 divisors (see below), whose sum is σ = 23209133688000. Its totient is φ = 3118003891200.

The previous prime is 10011200210419. The next prime is 10011200210461. The reversal of 10011200210442 is 24401200211001.

10011200210442 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 1 + 200 + 21 + 0 + 442 = 666.

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 71 ways as a sum of consecutive naturals, for example, 1711605934 + ... + 1711611782.

It is an arithmetic number, because the mean of its divisors is an integer number (161174539500).

Almost surely, 2^{10011200210442} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10011200210442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11604566844000).

10011200210442 is an abundant number, since it is smaller than the sum of its proper divisors (13197933477558).

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

10011200210442 is a wasteful number, since it uses less digits than its factorization.

10011200210442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8221 (or 8201 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 10011200210442 its reverse (24401200211001), we get a palindrome (34412400421443).

The spelling of 10011200210442 in words is "ten trillion, eleven billion, two hundred million, two hundred ten thousand, four hundred forty-two".