101001121210210 has 64 divisors (see below), whose sum is σ = 207627068293344. Its totient is φ = 35044274995200.

The previous prime is 101001121210183. The next prime is 101001121210229. The reversal of 101001121210210 is 12012121100101.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 6555202657969 + 94445918552241 = 2560313^2 + 9718329^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34232271 + ... + 37065490.

Almost surely, 2^{101001121210210} is an apocalyptic number.

101001121210210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101001121210210 is an abundant number, since it is smaller than the sum of its proper divisors (106625947083134).

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

101001121210210 is a wasteful number, since it uses less digits than its factorization.

101001121210210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71298439.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 101001121210210 its reverse (12012121100101), we get a palindrome (113013242310311).

The spelling of 101001121210210 in words is "one hundred one trillion, one billion, one hundred twenty-one million, two hundred ten thousand, two hundred ten".