10102011010211 has 8 divisors (see below), whose sum is σ = 10107635963040. Its totient is φ = 10096386354432.

The previous prime is 10102011010199. The next prime is 10102011010219. The reversal of 10102011010211 is 11201011020101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10102011010211 - 2²² = 10102006815907 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10102011010192 and 10102011010201.

It is not an unprimeable number, because it can be changed into a prime (10102011010219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 128512826 + ... + 128591408.

It is an arithmetic number, because the mean of its divisors is an integer number (1263454495380).

Almost surely, 2^{10102011010211} is an apocalyptic number.

10102011010211 is a deficient number, since it is larger than the sum of its proper divisors (5624952829).

10102011010211 is an equidigital number, since it uses as much as digits as its factorization.

10102011010211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148525.

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

Adding to 10102011010211 its reverse (11201011020101), we get a palindrome (21303022030312).

The spelling of 10102011010211 in words is "ten trillion, one hundred two billion, eleven million, ten thousand, two hundred eleven".