10000100102211 has 72 divisors (see below), whose sum is σ = 15481565046480. Its totient is φ = 6218573008896.

The previous prime is 10000100102129. The next prime is 10000100102227. The reversal of 10000100102211 is 11220100100001.

It is a happy number.

It is not a de Polignac number, because 10000100102211 - 2²⁷ = 9999965884483 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10000100102193 and 10000100102202.

It is not an unprimeable number, because it can be changed into a prime (10000100102281) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 220549935 + ... + 220595271.

Almost surely, 2^{10000100102211} is an apocalyptic number.

10000100102211 is a deficient number, since it is larger than the sum of its proper divisors (5481464944269).

10000100102211 is a wasteful number, since it uses less digits than its factorization.

10000100102211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46133 (or 46113 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10000100102211 its reverse (11220100100001), we get a palindrome (21220200202212).

The spelling of 10000100102211 in words is "ten trillion, one hundred million, one hundred two thousand, two hundred eleven".