10100120120211 has 32 divisors (see below), whose sum is σ = 14829547392000. Its totient is φ = 6063619668480.

The previous prime is 10100120120117. The next prime is 10100120120227. The reversal of 10100120120211 is 11202102100101.

It is a de Polignac number, because none of the positive numbers 2^k-10100120120211 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10100120120261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14217510 + ... + 14910996.

It is an arithmetic number, because the mean of its divisors is an integer number (463423356000).

Almost surely, 2^{10100120120211} is an apocalyptic number.

10100120120211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10100120120211 is a deficient number, since it is larger than the sum of its proper divisors (4729427271789).

10100120120211 is a wasteful number, since it uses less digits than its factorization.

10100120120211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 697659.

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

Adding to 10100120120211 its reverse (11202102100101), we get a palindrome (21302222220312).

The spelling of 10100120120211 in words is "ten trillion, one hundred billion, one hundred twenty million, one hundred twenty thousand, two hundred eleven".