102441023311121 has 96 divisors (see below), whose sum is σ = 120503545689600. Its totient is φ = 86340084203520.

The previous prime is 102441023311117. The next prime is 102441023311217. The reversal of 102441023311121 is 121113320144201.

It is a happy number.

It is not a de Polignac number, because 102441023311121 - 2² = 102441023311117 is a prime.

It is a super-2 number, since 2×102441023311121² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (102441023311021) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 90736069685 + ... + 90736070813.

It is an arithmetic number, because the mean of its divisors is an integer number (1255245267600).

Almost surely, 2^{102441023311121} is an apocalyptic number.

102441023311121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102441023311121 is a deficient number, since it is larger than the sum of its proper divisors (18062522378479).

102441023311121 is a wasteful number, since it uses less digits than its factorization.

102441023311121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2619 (or 2602 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

Adding to 102441023311121 its reverse (121113320144201), we get a palindrome (223554343455322).

The spelling of 102441023311121 in words is "one hundred two trillion, four hundred forty-one billion, twenty-three million, three hundred eleven thousand, one hundred twenty-one".