101411233101 has 24 divisors (see below), whose sum is σ = 155886886584. Its totient is φ = 63307560960.

The previous prime is 101411233093. The next prime is 101411233103. The reversal of 101411233101 is 101332114101.

It is a happy number.

101411233101 is a `hidden beast` number, since 10 + 1 + 411 + 233 + 10 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 62038355625 + 39372877476 = 249075^2 + 198426^2 .

It is not a de Polignac number, because 101411233101 - 2³ = 101411233093 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101411233103) 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, 1652140 + ... + 1712421.

It is an arithmetic number, because the mean of its divisors is an integer number (6495286941).

Almost surely, 2^101411233101 is an apocalyptic number.

It is an amenable number.

101411233101 is a deficient number, since it is larger than the sum of its proper divisors (54475653483).

101411233101 is a wasteful number, since it uses less digits than its factorization.

101411233101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3364781 (or 3364778 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 101411233101 its reverse (101332114101), we get a palindrome (202743347202).

The spelling of 101411233101 in words is "one hundred one billion, four hundred eleven million, two hundred thirty-three thousand, one hundred one".