120100102021001 has 16 divisors (see below), whose sum is σ = 120408204060816. Its totient is φ = 119792390400000.

The previous prime is 120100102020949. The next prime is 120100102021049. The reversal of 120100102021001 is 100120201001021.

It can be written as a sum of positive squares in 8 ways, for example, as 1368046033225 + 118732055987776 = 1169635^2 + 10896424^2 .

It is a cyclic number.

It is not a de Polignac number, because 120100102021001 - 2⁶ = 120100102020937 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (120100102027001) 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, 9669110771 + ... + 9669123191.

It is an arithmetic number, because the mean of its divisors is an integer number (7525512753801).

Almost surely, 2^{120100102021001} is an apocalyptic number.

It is an amenable number.

120100102021001 is a deficient number, since it is larger than the sum of its proper divisors (308102039815).

120100102021001 is a wasteful number, since it uses less digits than its factorization.

120100102021001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26204.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 120100102021001 its reverse (100120201001021), we get a palindrome (220220303022022).

The spelling of 120100102021001 in words is "one hundred twenty trillion, one hundred billion, one hundred two million, twenty-one thousand, one".