101201021000211 has 128 divisors (see below), whose sum is σ = 153892662239232. Its totient is φ = 58616078976000.

The previous prime is 101201021000141. The next prime is 101201021000257. The reversal of 101201021000211 is 112000120102101.

It is not a de Polignac number, because 101201021000211 - 2⁹ = 101201020999699 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101201021000281) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 21985881036 + ... + 21985885638.

It is an arithmetic number, because the mean of its divisors is an integer number (1202286423744).

Almost surely, 2^{101201021000211} is an apocalyptic number.

101201021000211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101201021000211 is a deficient number, since it is larger than the sum of its proper divisors (52691641239021).

101201021000211 is a wasteful number, since it uses less digits than its factorization.

101201021000211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5753.

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

Adding to 101201021000211 its reverse (112000120102101), we get a palindrome (213201141102312).

The spelling of 101201021000211 in words is "one hundred one trillion, two hundred one billion, twenty-one million, two hundred eleven", and thus it is an aban number.