10210122001101 has 32 divisors (see below), whose sum is σ = 15252973940736. Its totient is φ = 6020510760000.

The previous prime is 10210122001091. The next prime is 10210122001111. The reversal of 10210122001101 is 10110022101201.

It is an interprime number because it is at equal distance from previous prime (10210122001091) and next prime (10210122001111).

It is not a de Polignac number, because 10210122001101 - 2⁷ = 10210122000973 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10210122001111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41820856 + ... + 42064286.

It is an arithmetic number, because the mean of its divisors is an integer number (476655435648).

Almost surely, 2^{10210122001101} is an apocalyptic number.

10210122001101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10210122001101 is a deficient number, since it is larger than the sum of its proper divisors (5042851939635).

10210122001101 is a wasteful number, since it uses less digits than its factorization.

10210122001101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277833.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10210122001101 its reverse (10110022101201), we get a palindrome (20320144102302).

The spelling of 10210122001101 in words is "ten trillion, two hundred ten billion, one hundred twenty-two million, one thousand, one hundred one".