102102211101121 has 64 divisors (see below), whose sum is σ = 134929477969920. Its totient is φ = 74799522063360.

The previous prime is 102102211101103. The next prime is 102102211101151. The reversal of 102102211101121 is 121101112201201.

It is not a de Polignac number, because 102102211101121 - 2¹⁵ = 102102211068353 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102102211101095 and 102102211101104.

It is not an unprimeable number, because it can be changed into a prime (102102211101151) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10840021950 + ... + 10840031368.

It is an arithmetic number, because the mean of its divisors is an integer number (2108273093280).

Almost surely, 2^{102102211101121} is an apocalyptic number.

102102211101121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102102211101121 is a deficient number, since it is larger than the sum of its proper divisors (32827266868799).

102102211101121 is a wasteful number, since it uses less digits than its factorization.

102102211101121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17494.

The product of its (nonzero) digits is 16, while the sum is 16.

Adding to 102102211101121 its reverse (121101112201201), we get a palindrome (223203323302322).

The spelling of 102102211101121 in words is "one hundred two trillion, one hundred two billion, two hundred eleven million, one hundred one thousand, one hundred twenty-one".