10201001011011 has 24 divisors (see below), whose sum is σ = 14954973057024. Its totient is φ = 6699043113840.

The previous prime is 10201001011009. The next prime is 10201001011013. The reversal of 10201001011011 is 11011010010201.

It is an interprime number because it is at equal distance from previous prime (10201001011009) and next prime (10201001011013).

It is not a de Polignac number, because 10201001011011 - 2¹ = 10201001011009 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 10201001010984 and 10201001011002.

It is not an unprimeable number, because it can be changed into a prime (10201001011013) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43181826 + ... + 43417416.

It is an arithmetic number, because the mean of its divisors is an integer number (623123877376).

Almost surely, 2^{10201001011011} is an apocalyptic number.

10201001011011 is a deficient number, since it is larger than the sum of its proper divisors (4753972046013).

10201001011011 is a wasteful number, since it uses less digits than its factorization.

10201001011011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307471 (or 307468 counting only the distinct ones).

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

Adding to 10201001011011 its reverse (11011010010201), we get a palindrome (21212011021212).

The spelling of 10201001011011 in words is "ten trillion, two hundred one billion, one million, eleven thousand, eleven".