210110100192 has 144 divisors (see below), whose sum is σ = 608726664000. Its totient is φ = 68726246400.

The previous prime is 210110100163. The next prime is 210110100199. The reversal of 210110100192 is 291001011012.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210110100199) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7557934 + ... + 7585682.

It is an arithmetic number, because the mean of its divisors is an integer number (4227268500).

Almost surely, 2^210110100192 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 210110100192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304363332000).

210110100192 is an abundant number, since it is smaller than the sum of its proper divisors (398616563808).

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

210110100192 is a wasteful number, since it uses less digits than its factorization.

210110100192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28257 (or 28246 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

The spelling of 210110100192 in words is "two hundred ten billion, one hundred ten million, one hundred thousand, one hundred ninety-two".