101000211102001 has 32 divisors (see below), whose sum is σ = 114204237050880. Its totient is φ = 88815369216000.

The previous prime is 101000211101957. The next prime is 101000211102029. The reversal of 101000211102001 is 100201112000101.

It is a cyclic number.

It is not a de Polignac number, because 101000211102001 - 2¹⁹ = 101000210577713 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101000211108001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 281042910 + ... + 281402056.

It is an arithmetic number, because the mean of its divisors is an integer number (3568882407840).

Almost surely, 2^{101000211102001} is an apocalyptic number.

It is an amenable number.

101000211102001 is a deficient number, since it is larger than the sum of its proper divisors (13204025948879).

101000211102001 is a wasteful number, since it uses less digits than its factorization.

101000211102001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377625.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 101000211102001 its reverse (100201112000101), we get a palindrome (201201323102102).

The spelling of 101000211102001 in words is "one hundred one trillion, two hundred eleven million, one hundred two thousand, one".