101022010200111 has 256 divisors, whose sum is σ = 195924285849600. Its totient is φ = 44558532864000.

The previous prime is 101022010200031. The next prime is 101022010200151. The reversal of 101022010200111 is 111002010220101.

It is not a de Polignac number, because 101022010200111 - 2¹⁴ = 101022010183727 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101022010200151) 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 255 ways as a sum of consecutive naturals, for example, 1011171261 + ... + 1011271161.

It is an arithmetic number, because the mean of its divisors is an integer number (765329241600).

Almost surely, 2^{101022010200111} is an apocalyptic number.

101022010200111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101022010200111 is a deficient number, since it is larger than the sum of its proper divisors (94902275649489).

101022010200111 is a wasteful number, since it uses less digits than its factorization.

101022010200111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100470.

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

Adding to 101022010200111 its reverse (111002010220101), we get a palindrome (212024020420212).

The spelling of 101022010200111 in words is "one hundred one trillion, twenty-two billion, ten million, two hundred thousand, one hundred eleven".