201012020002121 has 8 divisors (see below), whose sum is σ = 212881225131144. Its totient is φ = 189147811390720.

The previous prime is 201012020002091. The next prime is 201012020002141. The reversal of 201012020002121 is 121200020210102.

It can be written as a sum of positive squares in 4 ways, for example, as 83943709926400 + 117068310075721 = 9162080^2 + 10819811^2 .

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 201012020002121 - 2¹⁰ = 201012020001097 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 201012020002096 and 201012020002105.

It is not an unprimeable number, because it can be changed into a prime (201012020002141) 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, 1249046570 + ... + 1249207491.

It is an arithmetic number, because the mean of its divisors is an integer number (26610153141393).

Almost surely, 2^{201012020002121} is an apocalyptic number.

It is an amenable number.

201012020002121 is a deficient number, since it is larger than the sum of its proper divisors (11869205129023).

201012020002121 is a wasteful number, since it uses less digits than its factorization.

201012020002121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2498258811.

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

Adding to 201012020002121 its reverse (121200020210102), we get a palindrome (322212040212223).

The spelling of 201012020002121 in words is "two hundred one trillion, twelve billion, twenty million, two thousand, one hundred twenty-one".