102011132123121 has 48 divisors (see below), whose sum is σ = 152038279729152. Its totient is φ = 60749091748800.

The previous prime is 102011132123071. The next prime is 102011132123269. The reversal of 102011132123121 is 121321231110201.

It is not a de Polignac number, because 102011132123121 - 2⁹ = 102011132122609 is a prime.

It is a super-2 number, since 2×102011132123121² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (102011132123921) 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, 597019126 + ... + 597189968.

It is an arithmetic number, because the mean of its divisors is an integer number (3167464161024).

Almost surely, 2^{102011132123121} is an apocalyptic number.

It is an amenable number.

102011132123121 is a deficient number, since it is larger than the sum of its proper divisors (50027147606031).

102011132123121 is a wasteful number, since it uses less digits than its factorization.

102011132123121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208894 (or 208881 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 21.

Adding to 102011132123121 its reverse (121321231110201), we get a palindrome (223332363233322).

The spelling of 102011132123121 in words is "one hundred two trillion, eleven billion, one hundred thirty-two million, one hundred twenty-three thousand, one hundred twenty-one".