120121010112101 has 8 divisors (see below), whose sum is σ = 124324357495800. Its totient is φ = 115921745634240.

The previous prime is 120121010112079. The next prime is 120121010112143. The reversal of 120121010112101 is 101211010121021.

It can be written as a sum of positive squares in 4 ways, for example, as 75425768409601 + 44695241702500 = 8684801^2 + 6685450^2 .

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 120121010112101 - 2⁴² = 115722963600997 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120121010112161) 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, 1020666590 + ... + 1020784271.

It is an arithmetic number, because the mean of its divisors is an integer number (15540544686975).

Almost surely, 2^{120121010112101} is an apocalyptic number.

It is an amenable number.

120121010112101 is a deficient number, since it is larger than the sum of its proper divisors (4203347383699).

120121010112101 is a wasteful number, since it uses less digits than its factorization.

120121010112101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2041452919.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 120121010112101 its reverse (101211010121021), we get a palindrome (221332020233122).

The spelling of 120121010112101 in words is "one hundred twenty trillion, one hundred twenty-one billion, ten million, one hundred twelve thousand, one hundred one".