10211011012101 has 32 divisors (see below), whose sum is σ = 13790120572800. Its totient is φ = 6720288067584.

The previous prime is 10211011012051. The next prime is 10211011012127. The reversal of 10211011012101 is 10121011011201.

10211011012101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10211011012101 - 2¹⁵ = 10211010979333 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10211011012201) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56880981 + ... + 57060213.

It is an arithmetic number, because the mean of its divisors is an integer number (430941267900).

Almost surely, 2^{10211011012101} is an apocalyptic number.

It is an amenable number.

10211011012101 is a deficient number, since it is larger than the sum of its proper divisors (3579109560699).

10211011012101 is a wasteful number, since it uses less digits than its factorization.

10211011012101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180165.

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

Adding to 10211011012101 its reverse (10121011011201), we get a palindrome (20332022023302).

The spelling of 10211011012101 in words is "ten trillion, two hundred eleven billion, eleven million, twelve thousand, one hundred one".