120200122002101 has 8 divisors (see below), whose sum is σ = 120285983090520. Its totient is φ = 120114290802688.

The previous prime is 120200122002083. The next prime is 120200122002119. The reversal of 120200122002101 is 101200221002021.

It is an interprime number because it is at equal distance from previous prime (120200122002083) and next prime (120200122002119).

It can be written as a sum of positive squares in 4 ways, for example, as 27540727301476 + 92659394700625 = 5247926^2 + 9625975^2 .

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 120200122002101 - 2³⁴ = 120182942132917 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 (120200122002131) 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, 576815 + ... + 15515571.

It is an arithmetic number, because the mean of its divisors is an integer number (15035747886315).

Almost surely, 2^{120200122002101} is an apocalyptic number.

It is an amenable number.

120200122002101 is a deficient number, since it is larger than the sum of its proper divisors (85861088419).

120200122002101 is a wasteful number, since it uses less digits than its factorization.

120200122002101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14944503.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 120200122002101 its reverse (101200221002021), we get a palindrome (221400343004122).

The spelling of 120200122002101 in words is "one hundred twenty trillion, two hundred billion, one hundred twenty-two million, two thousand, one hundred one".