100211212001121 has 64 divisors (see below), whose sum is σ = 145079484743424. Its totient is φ = 61162391347200.

The previous prime is 100211212001119. The next prime is 100211212001171. The reversal of 100211212001121 is 121100212112001.

It is a happy number.

It is not a de Polignac number, because 100211212001121 - 2¹ = 100211212001119 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100211212001121.

It is not an unprimeable number, because it can be changed into a prime (100211212001111) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3474354126 + ... + 3474382968.

It is an arithmetic number, because the mean of its divisors is an integer number (2266866949116).

Almost surely, 2^{100211212001121} is an apocalyptic number.

It is an amenable number.

100211212001121 is a deficient number, since it is larger than the sum of its proper divisors (44868272742303).

100211212001121 is a wasteful number, since it uses less digits than its factorization.

100211212001121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30594.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 100211212001121 its reverse (121100212112001), we get a palindrome (221311424113122).

The spelling of 100211212001121 in words is "one hundred trillion, two hundred eleven billion, two hundred twelve million, one thousand, one hundred twenty-one".