101102121000210 has 512 divisors, whose sum is σ = 281363972198400. Its totient is φ = 23214510950400.

The previous prime is 101102121000203. The next prime is 101102121000217. The reversal of 101102121000210 is 12000121201101.

It is an interprime number because it is at equal distance from previous prime (101102121000203) and next prime (101102121000217).

It is a super-2 number, since 2×101102121000210² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101102121000217) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 40103973750 + ... + 40103976270.

It is an arithmetic number, because the mean of its divisors is an integer number (549539008200).

Almost surely, 2^{101102121000210} is an apocalyptic number.

101102121000210 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 101102121000210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140681986099200).

101102121000210 is an abundant number, since it is smaller than the sum of its proper divisors (180261851198190).

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

101102121000210 is a wasteful number, since it uses less digits than its factorization.

101102121000210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3239 (or 3217 counting only the distinct ones).

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

Adding to 101102121000210 its reverse (12000121201101), we get a palindrome (113102242201311).

The spelling of 101102121000210 in words is "one hundred one trillion, one hundred two billion, one hundred twenty-one million, two hundred ten", and thus it is an aban number.