101032260210 has 384 divisors, whose sum is σ = 324977702400. Its totient is φ = 21252833280.

The previous prime is 101032260191. The next prime is 101032260253. The reversal of 101032260210 is 12062230101.

101032260210 is a `hidden beast` number, since 10 + 10 + 32 + 2 + 602 + 10 = 666.

It is a super-2 number, since 2×101032260210² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 177560806 + ... + 177561374.

It is an arithmetic number, because the mean of its divisors is an integer number (846296100).

Almost surely, 2^101032260210 is an apocalyptic number.

101032260210 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 101032260210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162488851200).

101032260210 is an abundant number, since it is smaller than the sum of its proper divisors (223945442190).

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

101032260210 is a wasteful number, since it uses less digits than its factorization.

101032260210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 946 (or 943 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 101032260210 its reverse (12062230101), we get a palindrome (113094490311).

The spelling of 101032260210 in words is "one hundred one billion, thirty-two million, two hundred sixty thousand, two hundred ten".