10211110102101 has 32 divisors (see below), whose sum is σ = 15016538465280. Its totient is φ = 6143128992000.

The previous prime is 10211110102057. The next prime is 10211110102169. The reversal of 10211110102101 is 10120101111201.

It is not a de Polignac number, because 10211110102101 - 2¹⁰ = 10211110101077 is a prime.

It is a super-2 number, since 2×10211110102101² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10211110102001) 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, 15843375 + ... + 16475276.

It is an arithmetic number, because the mean of its divisors is an integer number (469266827040).

Almost surely, 2^{10211110102101} is an apocalyptic number.

It is an amenable number.

10211110102101 is a deficient number, since it is larger than the sum of its proper divisors (4805428363179).

10211110102101 is a wasteful number, since it uses less digits than its factorization.

10211110102101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32318937.

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

Adding to 10211110102101 its reverse (10120101111201), we get a palindrome (20331211213302).

The spelling of 10211110102101 in words is "ten trillion, two hundred eleven billion, one hundred ten million, one hundred two thousand, one hundred one".