10211222122101 has 192 divisors, whose sum is σ = 20442188422656. Its totient is φ = 4739938560000.

The previous prime is 10211222122061. The next prime is 10211222122121. The reversal of 10211222122101 is 10122122211201.

10211222122101 is a `hidden beast` number, since 10 + 211 + 2 + 221 + 221 + 0 + 1 = 666.

10211222122101 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 10211222122101 - 2²² = 10211217927797 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10211222122121) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 65588851 + ... + 65744351.

It is an arithmetic number, because the mean of its divisors is an integer number (106469731368).

Almost surely, 2^{10211222122101} is an apocalyptic number.

10211222122101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10211222122101 is an abundant number, since it is smaller than the sum of its proper divisors (10230966300555).

10211222122101 is a wasteful number, since it uses less digits than its factorization.

10211222122101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155772 (or 155769 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 10211222122101 its reverse (10122122211201), we get a palindrome (20333344333302).

The spelling of 10211222122101 in words is "ten trillion, two hundred eleven billion, two hundred twenty-two million, one hundred twenty-two thousand, one hundred one".