100211210102101 has 8 divisors (see below), whose sum is σ = 114528432496320. Its totient is φ = 85894321517088.

The previous prime is 100211210102053. The next prime is 100211210102173. The reversal of 100211210102101 is 101201012112001.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 100211210102101 - 2³¹ = 100209062618453 is a prime.

It is a super-2 number, since 2×100211210102101² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100211210106101) 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 7 ways as a sum of consecutive naturals, for example, 82808671 + ... + 84010108.

It is an arithmetic number, because the mean of its divisors is an integer number (14316054062040).

Almost surely, 2^{100211210102101} is an apocalyptic number.

It is an amenable number.

100211210102101 is a deficient number, since it is larger than the sum of its proper divisors (14317222394219).

100211210102101 is an equidigital number, since it uses as much as digits as its factorization.

100211210102101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166904603.

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

Adding to 100211210102101 its reverse (101201012112001), we get a palindrome (201412222214102).

The spelling of 100211210102101 in words is "one hundred trillion, two hundred eleven billion, two hundred ten million, one hundred two thousand, one hundred one".