101121132210 has 128 divisors (see below), whose sum is σ = 282363992064. Its totient is φ = 22698593280.

The previous prime is 101121132209. The next prime is 101121132221. The reversal of 101121132210 is 12231121101.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 101121132210.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4646314 + ... + 4668026.

It is an arithmetic number, because the mean of its divisors is an integer number (2205968688).

Almost surely, 2^101121132210 is an apocalyptic number.

101121132210 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 101121132210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141181996032).

101121132210 is an abundant number, since it is smaller than the sum of its proper divisors (181242859854).

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

101121132210 is a wasteful number, since it uses less digits than its factorization.

101121132210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22128.

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 101121132210 its reverse (12231121101), we get a palindrome (113352253311).

The spelling of 101121132210 in words is "one hundred one billion, one hundred twenty-one million, one hundred thirty-two thousand, two hundred ten".