10100001122211 has 128 divisors (see below), whose sum is σ = 18753680074752. Its totient is φ = 4665600000000.

The previous prime is 10100001122191. The next prime is 10100001122291. The reversal of 10100001122211 is 11222110000101.

It is not a de Polignac number, because 10100001122211 - 2⁶ = 10100001122147 is a prime.

10100001122211 is a modest number, since divided by 1122211 gives 1010 as remainder.

It is not an unprimeable number, because it can be changed into a prime (10100001122291) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10772211 + ... + 11672211.

It is an arithmetic number, because the mean of its divisors is an integer number (146513125584).

Almost surely, 2^{10100001122211} is an apocalyptic number.

10100001122211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10100001122211 is a deficient number, since it is larger than the sum of its proper divisors (8653678952541).

10100001122211 is a wasteful number, since it uses less digits than its factorization.

10100001122211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 900173.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10100001122211 its reverse (11222110000101), we get a palindrome (21322111122312).

The spelling of 10100001122211 in words is "ten trillion, one hundred billion, one million, one hundred twenty-two thousand, two hundred eleven".