210145101541011 has 192 divisors, whose sum is σ = 395167679262720. Its totient is φ = 104745936298752.

The previous prime is 210145101540989. The next prime is 210145101541079. The reversal of 210145101541011 is 110145101541012.

210145101541011 is a `hidden beast` number, since 2 + 1 + 0 + 1 + 4 + 5 + 101 + 541 + 0 + 11 = 666.

It is not a de Polignac number, because 210145101541011 - 2⁹ = 210145101540499 is a prime.

It is not an unprimeable number, because it can be changed into a prime (210145101546011) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 938693856 + ... + 938917698.

It is an arithmetic number, because the mean of its divisors is an integer number (2058164996160).

Almost surely, 2^{210145101541011} is an apocalyptic number.

210145101541011 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

210145101541011 is a deficient number, since it is larger than the sum of its proper divisors (185022577721709).

210145101541011 is a wasteful number, since it uses less digits than its factorization.

210145101541011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224003 (or 223942 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 27.

Subtracting from 210145101541011 its reverse (110145101541012), we obtain a palindrome (99999999999999).

The spelling of 210145101541011 in words is "two hundred ten trillion, one hundred forty-five billion, one hundred one million, five hundred forty-one thousand, eleven".