102112210101000 has 512 divisors, whose sum is σ = 351626334958080. Its totient is φ = 24465588224000.

The previous prime is 102112210100969. The next prime is 102112210101017. The reversal of 102112210101000 is 101012211201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1316298214 + ... + 1316375786.

It is an arithmetic number, because the mean of its divisors is an integer number (686770185465).

Almost surely, 2^{102112210101000} is an apocalyptic number.

102112210101000 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 102112210101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175813167479040).

102112210101000 is an abundant number, since it is smaller than the sum of its proper divisors (249514124857080).

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

102112210101000 is a wasteful number, since it uses less digits than its factorization.

102112210101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78074 (or 78060 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 102112210101000 its reverse (101012211201), we get a palindrome (102213222312201).

The spelling of 102112210101000 in words is "one hundred two trillion, one hundred twelve billion, two hundred ten million, one hundred one thousand".