102221011112121 has 32 divisors (see below), whose sum is σ = 165210155020800. Its totient is φ = 61950447761040.

The previous prime is 102221011112111. The next prime is 102221011112131. The reversal of 102221011112121 is 121211110122201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (102221011112111) and next prime (102221011112131).

It is not a de Polignac number, because 102221011112121 - 2¹⁴ = 102221011095737 is a prime.

It is a super-2 number, since 2×102221011112121² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102221011112094 and 102221011112103.

It is not an unprimeable number, because it can be changed into a prime (102221011112111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6345970 + ... + 15643316.

It is an arithmetic number, because the mean of its divisors is an integer number (5162817344400).

Almost surely, 2^{102221011112121} is an apocalyptic number.

102221011112121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102221011112121 is a deficient number, since it is larger than the sum of its proper divisors (62989143908679).

102221011112121 is a wasteful number, since it uses less digits than its factorization.

102221011112121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9334386 (or 9334380 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 102221011112121 its reverse (121211110122201), we get a palindrome (223432121234322).

The spelling of 102221011112121 in words is "one hundred two trillion, two hundred twenty-one billion, eleven million, one hundred twelve thousand, one hundred twenty-one".