211000012000101 has 64 divisors (see below), whose sum is σ = 333690608793600. Its totient is φ = 131381761795200.

The previous prime is 211000012000049. The next prime is 211000012000123. The reversal of 211000012000101 is 101000210000112.

It is a happy number.

It is not a de Polignac number, because 211000012000101 - 2¹⁵ = 211000011967333 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211000012000801) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1315045041 + ... + 1315205481.

It is an arithmetic number, because the mean of its divisors is an integer number (5213915762400).

Almost surely, 2^{211000012000101} is an apocalyptic number.

It is an amenable number.

211000012000101 is a deficient number, since it is larger than the sum of its proper divisors (122690596793499).

211000012000101 is a wasteful number, since it uses less digits than its factorization.

211000012000101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196647 (or 196641 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 211000012000101 its reverse (101000210000112), we get a palindrome (312000222000213).

The spelling of 211000012000101 in words is "two hundred eleven trillion, twelve million, one hundred one", and thus it is an aban number.