100112010001211 has 16 divisors (see below), whose sum is σ = 108976170121728. Its totient is φ = 91419372662400.

The previous prime is 100112010001177. The next prime is 100112010001217. The reversal of 100112010001211 is 112100010211001.

It is a cyclic number.

It is not a de Polignac number, because 100112010001211 - 2¹⁴ = 100112009984827 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100112010001192 and 100112010001201.

It is not an unprimeable number, because it can be changed into a prime (100112010001217) 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, 110928956 + ... + 111827801.

It is an arithmetic number, because the mean of its divisors is an integer number (6811010632608).

Almost surely, 2^{100112010001211} is an apocalyptic number.

100112010001211 is a deficient number, since it is larger than the sum of its proper divisors (8864160120517).

100112010001211 is a wasteful number, since it uses less digits than its factorization.

100112010001211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222757142.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 100112010001211 its reverse (112100010211001), we get a palindrome (212212020212212).

The spelling of 100112010001211 in words is "one hundred trillion, one hundred twelve billion, ten million, one thousand, two hundred eleven".