102112122211000 has 384 divisors, whose sum is σ = 266626473984000. Its totient is φ = 36295521600000.

The previous prime is 102112122210937. The next prime is 102112122211003. The reversal of 102112122211000 is 112221211201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102112122211003) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8864663241 + ... + 8864674759.

It is an arithmetic number, because the mean of its divisors is an integer number (694339776000).

Almost surely, 2^{102112122211000} is an apocalyptic number.

102112122211000 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 102112122211000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133313236992000).

102112122211000 is an abundant number, since it is smaller than the sum of its proper divisors (164514351773000).

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

102112122211000 is a wasteful number, since it uses less digits than its factorization.

102112122211000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11832 (or 11717 counting only the distinct ones).

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

Adding to 102112122211000 its reverse (112221211201), we get a palindrome (102224343422201).

The spelling of 102112122211000 in words is "one hundred two trillion, one hundred twelve billion, one hundred twenty-two million, two hundred eleven thousand".