102101010122232 has 256 divisors, whose sum is σ = 327909254400000. Its totient is φ = 29091946106880.

The previous prime is 102101010122141. The next prime is 102101010122269. The reversal of 102101010122232 is 232221010101201.

102101010122232 is a `hidden beast` number, since 1 + 0 + 210 + 101 + 0 + 122 + 232 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 41166369 + ... + 43576047.

It is an arithmetic number, because the mean of its divisors is an integer number (1280895525000).

Almost surely, 2^{102101010122232} is an apocalyptic number.

102101010122232 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 102101010122232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163954627200000).

102101010122232 is an abundant number, since it is smaller than the sum of its proper divisors (225808244277768).

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

102101010122232 is a wasteful number, since it uses less digits than its factorization.

102101010122232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2410771 (or 2410761 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 102101010122232 its reverse (232221010101201), we get a palindrome (334322020223433).

The spelling of 102101010122232 in words is "one hundred two trillion, one hundred one billion, ten million, one hundred twenty-two thousand, two hundred thirty-two".