102212211122320 has 160 divisors (see below), whose sum is σ = 266794898033664. Its totient is φ = 36160867584000.

The previous prime is 102212211122317. The next prime is 102212211122323. The reversal of 102212211122320 is 23221112212201.

It is an interprime number because it is at equal distance from previous prime (102212211122317) and next prime (102212211122323).

It is a super-3 number, since 3×102212211122320³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 102212211122291 and 102212211122300.

It is not an unprimeable number, because it can be changed into a prime (102212211122323) 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, 12438582 + ... + 18951061.

Almost surely, 2^{102212211122320} is an apocalyptic number.

102212211122320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102212211122320 is an abundant number, since it is smaller than the sum of its proper divisors (164582686911344).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102212211122320 is a wasteful number, since it uses less digits than its factorization.

102212211122320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31389801 (or 31389795 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

Adding to 102212211122320 its reverse (23221112212201), we get a palindrome (125433323334521).

The spelling of 102212211122320 in words is "one hundred two trillion, two hundred twelve billion, two hundred eleven million, one hundred twenty-two thousand, three hundred twenty".