120212110102001 has 16 divisors (see below), whose sum is σ = 123395171139600. Its totient is φ = 117068207904000.

The previous prime is 120212110101983. The next prime is 120212110102037. The reversal of 120212110102001 is 100201011212021.

It can be written as a sum of positive squares in 8 ways, for example, as 1656510573025 + 118555599528976 = 1287055^2 + 10888324^2 .

It is a cyclic number.

It is not a de Polignac number, because 120212110102001 - 2²² = 120212105907697 is a prime.

It is a super-2 number, since 2×120212110102001² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (120212110102501) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 330226355 + ... + 330590183.

It is an arithmetic number, because the mean of its divisors is an integer number (7712198196225).

Almost surely, 2^{120212110102001} is an apocalyptic number.

It is an amenable number.

120212110102001 is a deficient number, since it is larger than the sum of its proper divisors (3183061037599).

120212110102001 is a wasteful number, since it uses less digits than its factorization.

120212110102001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417620.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 120212110102001 its reverse (100201011212021), we get a palindrome (220413121314022).

The spelling of 120212110102001 in words is "one hundred twenty trillion, two hundred twelve billion, one hundred ten million, one hundred two thousand, one".