10100311101 has 24 divisors (see below), whose sum is σ = 14683032000. Its totient is φ = 6690362112.

The previous prime is 10100311093. The next prime is 10100311121. The reversal of 10100311101 is 10111300101.

It is not a de Polignac number, because 10100311101 - 2³ = 10100311093 is a prime.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100311121) 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, 3041520 + ... + 3044838.

It is an arithmetic number, because the mean of its divisors is an integer number (611793000).

Almost surely, 2^10100311101 is an apocalyptic number.

It is an amenable number.

10100311101 is a deficient number, since it is larger than the sum of its proper divisors (4582720899).

10100311101 is a wasteful number, since it uses less digits than its factorization.

10100311101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5393 (or 5390 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 9.

Adding to 10100311101 its reverse (10111300101), we get a palindrome (20211611202).

It can be divided in two parts, 10100 and 311101, that added together give a triangular number (321201 = T₈₀₁).

The spelling of 10100311101 in words is "ten billion, one hundred million, three hundred eleven thousand, one hundred one".