10211220112101 has 64 divisors (see below), whose sum is σ = 14761791993600. Its totient is φ = 6258576070656.

The previous prime is 10211220112087. The next prime is 10211220112103. The reversal of 10211220112101 is 10121102211201.

It is a happy number.

It is not a de Polignac number, because 10211220112101 - 2⁵ = 10211220112069 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10211220112103) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 114599395 + ... + 114688463.

It is an arithmetic number, because the mean of its divisors is an integer number (230652999900).

Almost surely, 2^{10211220112101} is an apocalyptic number.

It is an amenable number.

10211220112101 is a deficient number, since it is larger than the sum of its proper divisors (4550571881499).

10211220112101 is a wasteful number, since it uses less digits than its factorization.

10211220112101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89558.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 10211220112101 its reverse (10121102211201), we get a palindrome (20332322323302).

The spelling of 10211220112101 in words is "ten trillion, two hundred eleven billion, two hundred twenty million, one hundred twelve thousand, one hundred one".