10201100101011 has 6 divisors (see below), whose sum is σ = 14734922368140. Its totient is φ = 6800733400668.

The previous prime is 10201100101009. The next prime is 10201100101013. The reversal of 10201100101011 is 11010100110201.

It is an interprime number because it is at equal distance from previous prime (10201100101009) and next prime (10201100101013).

It is not a de Polignac number, because 10201100101011 - 2¹ = 10201100101009 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: 1133455566779 = 10201100101011 / (1 + 0 + 2 + 0 + 1 + 1 + 0 + 0 + 1 + 0 + 1 + 0 + 1 + 1).

It is a junction number, because it is equal to n+sod(n) for n = 10201100100984 and 10201100101002.

It is not an unprimeable number, because it can be changed into a prime (10201100101013) 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, 566727783381 + ... + 566727783398.

It is an arithmetic number, because the mean of its divisors is an integer number (2455820394690).

Almost surely, 2^{10201100101011} is an apocalyptic number.

10201100101011 is a deficient number, since it is larger than the sum of its proper divisors (4533822267129).

10201100101011 is a wasteful number, since it uses less digits than its factorization.

10201100101011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1133455566785 (or 1133455566782 counting only the distinct ones).

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

Adding to 10201100101011 its reverse (11010100110201), we get a palindrome (21211200211212).

The spelling of 10201100101011 in words is "ten trillion, two hundred one billion, one hundred million, one hundred one thousand, eleven".