100211000101101 has 16 divisors (see below), whose sum is σ = 148607877443200. Its totient is φ = 66741121952064.

The previous prime is 100211000101099. The next prime is 100211000101103. The reversal of 100211000101101 is 101101000112001.

It is an interprime number because it is at equal distance from previous prime (100211000101099) and next prime (100211000101103).

It is not a de Polignac number, because 100211000101101 - 2¹ = 100211000101099 is a prime.

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

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100211000101103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1839179161 + ... + 1839233646.

It is an arithmetic number, because the mean of its divisors is an integer number (9287992340200).

Almost surely, 2^{100211000101101} is an apocalyptic number.

It is an amenable number.

100211000101101 is a deficient number, since it is larger than the sum of its proper divisors (48396877342099).

100211000101101 is a wasteful number, since it uses less digits than its factorization.

100211000101101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3678413825 (or 3678413819 counting only the distinct ones).

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

Adding to 100211000101101 its reverse (101101000112001), we get a palindrome (201312000213102).

The spelling of 100211000101101 in words is "one hundred trillion, two hundred eleven billion, one hundred one thousand, one hundred one".