102101123034441 has 24 divisors (see below), whose sum is σ = 156188436555840. Its totient is φ = 64136201871456.

The previous prime is 102101123034437. The next prime is 102101123034473. The reversal of 102101123034441 is 144430321101201.

It is a happy number.

102101123034441 is a `hidden beast` number, since 1 + 0 + 210 + 1 + 1 + 2 + 3 + 0 + 3 + 4 + 441 = 666.

It is not a de Polignac number, because 102101123034441 - 2² = 102101123034437 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (102101123034431) 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, 3680897626 + ... + 3680925363.

It is an arithmetic number, because the mean of its divisors is an integer number (6507851523160).

Almost surely, 2^{102101123034441} is an apocalyptic number.

It is an amenable number.

102101123034441 is a deficient number, since it is larger than the sum of its proper divisors (54087313521399).

102101123034441 is a wasteful number, since it uses less digits than its factorization.

102101123034441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7361823085 (or 7361823082 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 102101123034441 its reverse (144430321101201), we get a palindrome (246531444135642).

The spelling of 102101123034441 in words is "one hundred two trillion, one hundred one billion, one hundred twenty-three million, thirty-four thousand, four hundred forty-one".