10122221220101 has 16 divisors (see below), whose sum is σ = 11200005177984. Its totient is φ = 9099245658624.

The previous prime is 10122221220079. The next prime is 10122221220103. The reversal of 10122221220101 is 10102212222101.

It is a cyclic number.

It is not a de Polignac number, because 10122221220101 - 2⁶ = 10122221220037 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10122221220101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10122221220103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18684656 + ... + 19218761.

It is an arithmetic number, because the mean of its divisors is an integer number (700000323624).

Almost surely, 2^{10122221220101} is an apocalyptic number.

It is an amenable number.

10122221220101 is a deficient number, since it is larger than the sum of its proper divisors (1077783957883).

10122221220101 is a wasteful number, since it uses less digits than its factorization.

10122221220101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37904140.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 10122221220101 its reverse (10102212222101), we get a palindrome (20224433442202).

The spelling of 10122221220101 in words is "ten trillion, one hundred twenty-two billion, two hundred twenty-one million, two hundred twenty thousand, one hundred one".