10211001100101 has 6 divisors (see below), whose sum is σ = 14749223811270. Its totient is φ = 6807334066728.

The previous prime is 10211001100099. The next prime is 10211001100123. The reversal of 10211001100101 is 10100110011201.

It can be written as a sum of positive squares in only one way, i.e., 6425540568225 + 3785460531876 = 2534865^2 + 1945626^2 .

It is not a de Polignac number, because 10211001100101 - 2¹ = 10211001100099 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 1134555677789 = 10211001100101 / (1 + 0 + 2 + 1 + 1 + 0 + 0 + 1 + 1 + 0 + 0 + 1 + 0 + 1).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10211001100151) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 567277838886 + ... + 567277838903.

It is an arithmetic number, because the mean of its divisors is an integer number (2458203968545).

Almost surely, 2^{10211001100101} is an apocalyptic number.

It is an amenable number.

10211001100101 is a deficient number, since it is larger than the sum of its proper divisors (4538222711169).

10211001100101 is a wasteful number, since it uses less digits than its factorization.

10211001100101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1134555677795 (or 1134555677792 counting only the distinct ones).

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

Adding to 10211001100101 its reverse (10100110011201), we get a palindrome (20311111111302).

The spelling of 10211001100101 in words is "ten trillion, two hundred eleven billion, one million, one hundred thousand, one hundred one".