101020120212001 has 4 divisors (see below), whose sum is σ = 101036358784404. Its totient is φ = 101003881639600.

The previous prime is 101020120211981. The next prime is 101020120212031. The reversal of 101020120212001 is 100212021020101.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 28766703171600 + 72253417040401 = 5363460^2 + 8500201^2 .

It is a cyclic number.

It is not a de Polignac number, because 101020120212001 - 2³³ = 101011530277409 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101020120212031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8119276870 + ... + 8119289311.

It is an arithmetic number, because the mean of its divisors is an integer number (25259089696101).

Almost surely, 2^{101020120212001} is an apocalyptic number.

It is an amenable number.

101020120212001 is a deficient number, since it is larger than the sum of its proper divisors (16238572403).

101020120212001 is an equidigital number, since it uses as much as digits as its factorization.

101020120212001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16238572402.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 101020120212001 its reverse (100212021020101), we get a palindrome (201232141232102).

It can be divided in two parts, 101020 and 120212001, that added together give a palindrome (120313021).

The spelling of 101020120212001 in words is "one hundred one trillion, twenty billion, one hundred twenty million, two hundred twelve thousand, one".