100020021202101 has 64 divisors (see below), whose sum is σ = 183896194922496. Its totient is φ = 46665387705600.

The previous prime is 100020021202067. The next prime is 100020021202111. The reversal of 100020021202101 is 101202120020001.

It is not a de Polignac number, because 100020021202101 - 2²³ = 100020012813493 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100020021202111) 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 63 ways as a sum of consecutive naturals, for example, 449979435 + ... + 450201656.

It is an arithmetic number, because the mean of its divisors is an integer number (2873378045664).

Almost surely, 2^{100020021202101} is an apocalyptic number.

100020021202101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100020021202101 is a deficient number, since it is larger than the sum of its proper divisors (83876173720395).

100020021202101 is a wasteful number, since it uses less digits than its factorization.

100020021202101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 900181162.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 100020021202101 its reverse (101202120020001), we get a palindrome (201222141222102).

The spelling of 100020021202101 in words is "one hundred trillion, twenty billion, twenty-one million, two hundred two thousand, one hundred one".