100211222112121 has 16 divisors (see below), whose sum is σ = 101894473594368. Its totient is φ = 98535683635200.

The previous prime is 100211222112107. The next prime is 100211222112149. The reversal of 100211222112121 is 121211222112001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 100211222112121 - 2¹¹ = 100211222110073 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100211222112101) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86114665 + ... + 87270601.

It is an arithmetic number, because the mean of its divisors is an integer number (6368404599648).

Almost surely, 2^{100211222112121} is an apocalyptic number.

It is an amenable number.

100211222112121 is a deficient number, since it is larger than the sum of its proper divisors (1683251482247).

100211222112121 is a wasteful number, since it uses less digits than its factorization.

100211222112121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1159272.

The product of its (nonzero) digits is 64, while the sum is 19.

Adding to 100211222112121 its reverse (121211222112001), we get a palindrome (221422444224122).

The spelling of 100211222112121 in words is "one hundred trillion, two hundred eleven billion, two hundred twenty-two million, one hundred twelve thousand, one hundred twenty-one".