101022121101 has 16 divisors (see below), whose sum is σ = 146956313088. Its totient is φ = 61219258800.

The previous prime is 101022121091. The next prime is 101022121147. The reversal of 101022121101 is 101121220101.

It is not a de Polignac number, because 101022121101 - 2¹⁹ = 101021596813 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101022121201) 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, 181320 + ... + 484686.

It is an arithmetic number, because the mean of its divisors is an integer number (9184769568).

Almost surely, 2^101022121101 is an apocalyptic number.

101022121101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101022121101 is a deficient number, since it is larger than the sum of its proper divisors (45934191987).

101022121101 is a wasteful number, since it uses less digits than its factorization.

101022121101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313472.

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

Adding to 101022121101 its reverse (101121220101), we get a palindrome (202143341202).

The spelling of 101022121101 in words is "one hundred one billion, twenty-two million, one hundred twenty-one thousand, one hundred one".