10100121011211 has 64 divisors (see below), whose sum is σ = 16866347581440. Its totient is φ = 5222915026560.

The previous prime is 10100121011203. The next prime is 10100121011261. The reversal of 10100121011211 is 11211012100101.

It is not a de Polignac number, because 10100121011211 - 2³ = 10100121011203 is a prime.

It is a super-2 number, since 2×10100121011211² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10100121011261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 154386870 + ... + 154452276.

It is an arithmetic number, because the mean of its divisors is an integer number (263536680960).

Almost surely, 2^{10100121011211} is an apocalyptic number.

10100121011211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10100121011211 is a deficient number, since it is larger than the sum of its proper divisors (6766226570229).

10100121011211 is a wasteful number, since it uses less digits than its factorization.

10100121011211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68464.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 10100121011211 its reverse (11211012100101), we get a palindrome (21311133111312).

The spelling of 10100121011211 in words is "ten trillion, one hundred billion, one hundred twenty-one million, eleven thousand, two hundred eleven".