211142100401 has 8 divisors (see below), whose sum is σ = 224432120520. Its totient is φ = 197948735488.

The previous prime is 211142100397. The next prime is 211142100409. The reversal of 211142100401 is 104001241112.

It can be written as a sum of positive squares in 4 ways, for example, as 130158600625 + 80983499776 = 360775^2 + 284576^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 211142100401 - 2² = 211142100397 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 211142100401.

It is not an unprimeable number, because it can be changed into a prime (211142100409) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24159296 + ... + 24168033.

It is an arithmetic number, because the mean of its divisors is an integer number (28054015065).

Almost surely, 2^211142100401 is an apocalyptic number.

It is an amenable number.

211142100401 is a deficient number, since it is larger than the sum of its proper divisors (13290020119).

211142100401 is a wasteful number, since it uses less digits than its factorization.

211142100401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48327603.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 211142100401 its reverse (104001241112), we get a palindrome (315143341513).

The spelling of 211142100401 in words is "two hundred eleven billion, one hundred forty-two million, one hundred thousand, four hundred one".