101321222334210 has 128 divisors (see below), whose sum is σ = 291032066949120. Its totient is φ = 25010568158400.

The previous prime is 101321222334193. The next prime is 101321222334239. The reversal of 101321222334210 is 12433222123101.

101321222334210 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 2 + 1 + 2 + 2 + 233 + 421 + 0 = 666.

101321222334210 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 262965826 + ... + 263350845.

It is an arithmetic number, because the mean of its divisors is an integer number (2273688023040).

Almost surely, 2^{101321222334210} is an apocalyptic number.

101321222334210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101321222334210 is an abundant number, since it is smaller than the sum of its proper divisors (189710844614910).

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

101321222334210 is a wasteful number, since it uses less digits than its factorization.

101321222334210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 526316741 (or 526316735 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 101321222334210 its reverse (12433222123101), we get a palindrome (113754444457311).

The spelling of 101321222334210 in words is "one hundred one trillion, three hundred twenty-one billion, two hundred twenty-two million, three hundred thirty-four thousand, two hundred ten".