102122212111000 has 256 divisors, whose sum is σ = 254451000585600. Its totient is φ = 38252839680000.

The previous prime is 102122212110973. The next prime is 102122212111069. The reversal of 102122212111000 is 111212221201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1176303594 + ... + 1176390406.

Almost surely, 2^{102122212111000} is an apocalyptic number.

102122212111000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102122212111000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127225500292800).

102122212111000 is an abundant number, since it is smaller than the sum of its proper divisors (152328788474600).

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

102122212111000 is a wasteful number, since it uses less digits than its factorization.

102122212111000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87567 (or 87553 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 102122212111000 its reverse (111212221201), we get a palindrome (102233424332201).

The spelling of 102122212111000 in words is "one hundred two trillion, one hundred twenty-two billion, two hundred twelve million, one hundred eleven thousand".