102101101010112 has 224 divisors, whose sum is σ = 282852610539520. Its totient is φ = 32465265730560.

The previous prime is 102101101010087. The next prime is 102101101010179. The reversal of 102101101010112 is 211010101101201.

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 31 ways as a sum of consecutive naturals, for example, 285237393 + ... + 285595119.

It is an arithmetic number, because the mean of its divisors is an integer number (1262734868480).

Almost surely, 2^{102101101010112} is an apocalyptic number.

102101101010112 is a gapful number since it is divisible by the number (12) 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 102101101010112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141426305269760).

102101101010112 is an abundant number, since it is smaller than the sum of its proper divisors (180751509529408).

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

102101101010112 is a wasteful number, since it uses less digits than its factorization.

102101101010112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358459 (or 358449 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 102101101010112 its reverse (211010101101201), we get a palindrome (313111202111313).

The spelling of 102101101010112 in words is "one hundred two trillion, one hundred one billion, one hundred one million, ten thousand, one hundred twelve".