101112102210 has 256 divisors, whose sum is σ = 298801152000. Its totient is φ = 21828102912.

The previous prime is 101112102173. The next prime is 101112102239. The reversal of 101112102210 is 12201211101.

It is a Curzon number.

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, 90520572 + ... + 90521688.

It is an arithmetic number, because the mean of its divisors is an integer number (1167192000).

Almost surely, 2^101112102210 is an apocalyptic number.

101112102210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 101112102210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149400576000).

101112102210 is an abundant number, since it is smaller than the sum of its proper divisors (197689049790).

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

101112102210 is a wasteful number, since it uses less digits than its factorization.

101112102210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1630 (or 1616 counting only the distinct ones).

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

Adding to 101112102210 its reverse (12201211101), we get a palindrome (113313313311).

The spelling of 101112102210 in words is "one hundred one billion, one hundred twelve million, one hundred two thousand, two hundred ten".