10120220102101 has 8 divisors (see below), whose sum is σ = 10806909120000. Its totient is φ = 9456045478320.

The previous prime is 10120220102077. The next prime is 10120220102137. The reversal of 10120220102101 is 10120102202101.

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

It is a cyclic number.

It is not a de Polignac number, because 10120220102101 - 2¹³ = 10120220093909 is a prime.

It is a super-2 number, since 2×10120220102101² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10120220109101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5628597601 + ... + 5628599398.

It is an arithmetic number, because the mean of its divisors is an integer number (1350863640000).

Almost surely, 2^{10120220102101} is an apocalyptic number.

It is an amenable number.

10120220102101 is a deficient number, since it is larger than the sum of its proper divisors (686689017899).

10120220102101 is a wasteful number, since it uses less digits than its factorization.

10120220102101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11257197059.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 10120220102101 its reverse (10120102202101), we get a palindrome (20240322304202).

It can be divided in two parts, 101 and 20220102101, that added together give a palindrome (20220102202).

The spelling of 10120220102101 in words is "ten trillion, one hundred twenty billion, two hundred twenty million, one hundred two thousand, one hundred one".