101200002101 has 8 divisors (see below), whose sum is σ = 110402524800. Its totient is φ = 91997899840.

The previous prime is 101200002097. The next prime is 101200002149.

101200002101 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 101200002101 - 2² = 101200002097 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101200002161) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 609380 + ... + 757458.

It is an arithmetic number, because the mean of its divisors is an integer number (13800315600).

Almost surely, 2^101200002101 is an apocalyptic number.

101200002101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101200002101 is a deficient number, since it is larger than the sum of its proper divisors (9202522699).

101200002101 is a wasteful number, since it uses less digits than its factorization.

101200002101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210219.

The product of its (nonzero) digits is 4, while the sum is 8.

It can be divided in two parts, 10120000 and 2101, that added together give a palindrome (10122101).

The spelling of 101200002101 in words is "one hundred one billion, two hundred million, two thousand, one hundred one".