100021616202261 has 64 divisors (see below), whose sum is σ = 147734079558912. Its totient is φ = 59804099131392.

The previous prime is 100021616202223. The next prime is 100021616202283. The reversal of 100021616202261 is 162202616120001.

It is not a de Polignac number, because 100021616202261 - 2¹⁷ = 100021616071189 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100021616202061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2006306011 + ... + 2006355863.

It is an arithmetic number, because the mean of its divisors is an integer number (2308344993108).

Almost surely, 2^{100021616202261} is an apocalyptic number.

It is an amenable number.

100021616202261 is a deficient number, since it is larger than the sum of its proper divisors (47712463356651).

100021616202261 is a wasteful number, since it uses less digits than its factorization.

100021616202261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56182.

The product of its (nonzero) digits is 3456, while the sum is 30.

The spelling of 100021616202261 in words is "one hundred trillion, twenty-one billion, six hundred sixteen million, two hundred two thousand, two hundred sixty-one".