100212121011101 has 8 divisors (see below), whose sum is σ = 115076119821600. Its totient is φ = 86307089865840.

The previous prime is 100212121011071. The next prime is 100212121011133. The reversal of 100212121011101 is 101110121212001.

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

It is a cyclic number.

It is not a de Polignac number, because 100212121011101 - 2¹⁰ = 100212121010077 is a prime.

It is a super-4 number, since 4×100212121011101⁴ (a number of 57 digits) contains 4444 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 (100212121016101) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 239741916086 + ... + 239741916503.

It is an arithmetic number, because the mean of its divisors is an integer number (14384514977700).

Almost surely, 2^{100212121011101} is an apocalyptic number.

100212121011101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100212121011101 is a deficient number, since it is larger than the sum of its proper divisors (14863998810499).

100212121011101 is a wasteful number, since it uses less digits than its factorization.

100212121011101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 479483832619.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 100212121011101 its reverse (101110121212001), we get a palindrome (201322242223102).

The spelling of 100212121011101 in words is "one hundred trillion, two hundred twelve billion, one hundred twenty-one million, eleven thousand, one hundred one".