100101010001211 has 24 divisors (see below), whose sum is σ = 149577604110480. Its totient is φ = 64432238584896.

The previous prime is 100101010001189. The next prime is 100101010001231. The reversal of 100101010001211 is 112100010101001.

It is not a de Polignac number, because 100101010001211 - 2¹⁷ = 100101009870139 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 100101010001193 and 100101010001202.

It is not an unprimeable number, because it can be changed into a prime (100101010001231) 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, 27446040 + ... + 30878586.

It is an arithmetic number, because the mean of its divisors is an integer number (6232400171270).

Almost surely, 2^{100101010001211} is an apocalyptic number.

100101010001211 is a deficient number, since it is larger than the sum of its proper divisors (49476594109269).

100101010001211 is a wasteful number, since it uses less digits than its factorization.

100101010001211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3544315 (or 3544312 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 100101010001211 its reverse (112100010101001), we get a palindrome (212201020102212).

The spelling of 100101010001211 in words is "one hundred trillion, one hundred one billion, ten million, one thousand, two hundred eleven".