10110201101 has 48 divisors (see below), whose sum is σ = 13814312064. Its totient is φ = 7199280000.

The previous prime is 10110201077. The next prime is 10110201139.

It is a happy number.

10110201101 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 10110201101 - 2¹⁰ = 10110200077 is a prime.

It is a super-2 number, since 2×10110201101² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10110201601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1107566 + ... + 1116656.

It is an arithmetic number, because the mean of its divisors is an integer number (287798168).

Almost surely, 2^10110201101 is an apocalyptic number.

10110201101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10110201101 is a deficient number, since it is larger than the sum of its proper divisors (3704110963).

10110201101 is a wasteful number, since it uses less digits than its factorization.

10110201101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9234 (or 9223 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

The spelling of 10110201101 in words is "ten billion, one hundred ten million, two hundred one thousand, one hundred one".