100212133131101 has 8 divisors (see below), whose sum is σ = 106140984094080. Its totient is φ = 94287062123968.

The previous prime is 100212133131083. The next prime is 100212133131139. The reversal of 100212133131101 is 101131331212001.

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 100212133131101 - 2⁴⁶ = 29843388953437 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100212133131191) 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, 944934371 + ... + 945040416.

It is an arithmetic number, because the mean of its divisors is an integer number (13267623011760).

Almost surely, 2^{100212133131101} is an apocalyptic number.

It is an amenable number.

100212133131101 is a deficient number, since it is larger than the sum of its proper divisors (5928850962979).

100212133131101 is a wasteful number, since it uses less digits than its factorization.

100212133131101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1889977923.

The product of its (nonzero) digits is 108, while the sum is 20.

Adding to 100212133131101 its reverse (101131331212001), we get a palindrome (201343464343102).

The spelling of 100212133131101 in words is "one hundred trillion, two hundred twelve billion, one hundred thirty-three million, one hundred thirty-one thousand, one hundred one".