100210121201021 has 16 divisors (see below), whose sum is σ = 109133666334000. Its totient is φ = 91460205838848.

The previous prime is 100210121200999. The next prime is 100210121201123. The reversal of 100210121201021 is 120102121012001.

It can be written as a sum of positive squares in 8 ways, for example, as 3622699348921 + 96587421852100 = 1903339^2 + 9827890^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100210121201021 is a prime.

It is a super-2 number, since 2×100210121201021² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100210121200987 and 100210121201005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100210121201521) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 50571095 + ... + 52515291.

It is an arithmetic number, because the mean of its divisors is an integer number (6820854145875).

Almost surely, 2^{100210121201021} is an apocalyptic number.

It is an amenable number.

100210121201021 is a deficient number, since it is larger than the sum of its proper divisors (8923545132979).

100210121201021 is a wasteful number, since it uses less digits than its factorization.

100210121201021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1988848.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 100210121201021 its reverse (120102121012001), we get a palindrome (220312242213022).

The spelling of 100210121201021 in words is "one hundred trillion, two hundred ten billion, one hundred twenty-one million, two hundred one thousand, twenty-one".