101032102110 has 128 divisors (see below), whose sum is σ = 271771822080. Its totient is φ = 23913179136.

The previous prime is 101032102103. The next prime is 101032102117. The reversal of 101032102110 is 11201230101.

It is an interprime number because it is at equal distance from previous prime (101032102103) and next prime (101032102117).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101032102117) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 556539 + ... + 715401.

It is an arithmetic number, because the mean of its divisors is an integer number (2123217360).

Almost surely, 2^101032102110 is an apocalyptic number.

101032102110 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 101032102110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135885911040).

101032102110 is an abundant number, since it is smaller than the sum of its proper divisors (170739719970).

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

101032102110 is a wasteful number, since it uses less digits than its factorization.

101032102110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158962.

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

Adding to 101032102110 its reverse (11201230101), we get a palindrome (112233332211).

The spelling of 101032102110 in words is "one hundred one billion, thirty-two million, one hundred two thousand, one hundred ten".