102121221311331 has 8 divisors (see below), whose sum is σ = 143328029910720. Its totient is φ = 64497613459752.

The previous prime is 102121221311309. The next prime is 102121221311353. The reversal of 102121221311331 is 133113122121201.

It is an interprime number because it is at equal distance from previous prime (102121221311309) and next prime (102121221311353).

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 102121221311331 - 2¹³ = 102121221303139 is a prime.

It is a super-2 number, since 2×102121221311331² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (102121221311371) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 895800186885 + ... + 895800186998.

It is an arithmetic number, because the mean of its divisors is an integer number (17916003738840).

Almost surely, 2^{102121221311331} is an apocalyptic number.

102121221311331 is a deficient number, since it is larger than the sum of its proper divisors (41206808599389).

102121221311331 is a wasteful number, since it uses less digits than its factorization.

102121221311331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1791600373905.

The product of its (nonzero) digits is 432, while the sum is 24.

Adding to 102121221311331 its reverse (133113122121201), we get a palindrome (235234343432532).

The spelling of 102121221311331 in words is "one hundred two trillion, one hundred twenty-one billion, two hundred twenty-one million, three hundred eleven thousand, three hundred thirty-one".