101200120210101 has 32 divisors (see below), whose sum is σ = 156066544613376. Its totient is φ = 57648693600000.

The previous prime is 101200120210069. The next prime is 101200120210103. The reversal of 101200120210101 is 101012021002101.

It is not a de Polignac number, because 101200120210101 - 2⁵ = 101200120210069 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101200120210103) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 119680135 + ... + 120522756.

It is an arithmetic number, because the mean of its divisors is an integer number (4877079519168).

Almost surely, 2^{101200120210101} is an apocalyptic number.

101200120210101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101200120210101 is a deficient number, since it is larger than the sum of its proper divisors (54866424403275).

101200120210101 is a wasteful number, since it uses less digits than its factorization.

101200120210101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240203673.

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

Adding to 101200120210101 its reverse (101012021002101), we get a palindrome (202212141212202).

The spelling of 101200120210101 in words is "one hundred one trillion, two hundred billion, one hundred twenty million, two hundred ten thousand, one hundred one".