100101021020010 has 48 divisors (see below), whose sum is σ = 260302372751304. Its totient is φ = 26689531954176.

The previous prime is 100101021019997. The next prime is 100101021020041. The reversal of 100101021020010 is 10020120101001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 67861530071721 + 32239490948289 = 8237811^2 + 5677983^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 100101021019974 and 100101021020001.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 84274687 + ... + 85454226.

Almost surely, 2^{100101021020010} is an apocalyptic number.

100101021020010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100101021020010 is an abundant number, since it is smaller than the sum of its proper divisors (160201351731294).

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

100101021020010 is a wasteful number, since it uses less digits than its factorization.

100101021020010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169735479 (or 169735476 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 100101021020010 its reverse (10020120101001), we get a palindrome (110121141121011).

The spelling of 100101021020010 in words is "one hundred trillion, one hundred one billion, twenty-one million, twenty thousand, ten".