210145101541012 has 72 divisors (see below), whose sum is σ = 428011124067072. Its totient is φ = 89900016011520.

The previous prime is 210145101540989. The next prime is 210145101541079.

210145101541012 is nontrivially palindromic in base 10.

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, 525626973 + ... + 526026619.

It is an arithmetic number, because the mean of its divisors is an integer number (5944598945376).

Almost surely, 2^{210145101541012} is an apocalyptic number.

210145101541012 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

210145101541012 is an abundant number, since it is smaller than the sum of its proper divisors (217866022526060).

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

210145101541012 is a wasteful number, since it uses less digits than its factorization.

210145101541012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463597 (or 463584 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 28.

It can be divided in two parts, 21014510 and 1541012, that added together give a palindrome (22555522).

The spelling of 210145101541012 in words is "two hundred ten trillion, one hundred forty-five billion, one hundred one million, five hundred forty-one thousand, twelve".