101021122002101 has 16 divisors (see below), whose sum is σ = 115618085702784. Its totient is φ = 86465554761024.

The previous prime is 101021122002071. The next prime is 101021122002103. The reversal of 101021122002101 is 101200221120101.

It is a cyclic number.

It is not a de Polignac number, because 101021122002101 - 2²⁶ = 101021054893237 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101021122002103) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20810750 + ... + 25201776.

It is an arithmetic number, because the mean of its divisors is an integer number (7226130356424).

Almost surely, 2^{101021122002101} is an apocalyptic number.

It is an amenable number.

101021122002101 is a deficient number, since it is larger than the sum of its proper divisors (14596963700683).

101021122002101 is an equidigital number, since it uses as much as digits as its factorization.

101021122002101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4395740.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 101021122002101 its reverse (101200221120101), we get a palindrome (202221343122202).

The spelling of 101021122002101 in words is "one hundred one trillion, twenty-one billion, one hundred twenty-two million, two thousand, one hundred one".