210142241012 has 72 divisors (see below), whose sum is σ = 426225371040. Its totient is φ = 89657435520.

The previous prime is 210142241003. The next prime is 210142241063.

210142241012 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×210142241012² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9921938 + ... + 9943094.

It is an arithmetic number, because the mean of its divisors is an integer number (5919796820).

Almost surely, 2^210142241012 is an apocalyptic number.

210142241012 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

210142241012 is an abundant number, since it is smaller than the sum of its proper divisors (216083130028).

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

210142241012 is a wasteful number, since it uses less digits than its factorization.

210142241012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21409 (or 21298 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

It can be divided in two parts, 210142 and 241012, that added together give a palindrome (451154).

The spelling of 210142241012 in words is "two hundred ten billion, one hundred forty-two million, two hundred forty-one thousand, twelve".