120100201102101 has 64 divisors (see below), whose sum is σ = 180540848378880. Its totient is φ = 70384628160000.

The previous prime is 120100201102073. The next prime is 120100201102109. The reversal of 120100201102101 is 101201102001021.

It is not a de Polignac number, because 120100201102101 - 2¹⁹ = 120100200577813 is a prime.

It is a super-2 number, since 2×120100201102101² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120100201102109) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1778411706 + ... + 1778479236.

It is an arithmetic number, because the mean of its divisors is an integer number (2820950755920).

Almost surely, 2^{120100201102101} is an apocalyptic number.

120100201102101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

120100201102101 is a deficient number, since it is larger than the sum of its proper divisors (60440647276779).

120100201102101 is a wasteful number, since it uses less digits than its factorization.

120100201102101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80098.

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

Adding to 120100201102101 its reverse (101201102001021), we get a palindrome (221301303103122).

The spelling of 120100201102101 in words is "one hundred twenty trillion, one hundred billion, two hundred one million, one hundred two thousand, one hundred one".