10020120101001 has 12 divisors (see below), whose sum is σ = 14473536489412. Its totient is φ = 6680066370336.

The previous prime is 10020120100999. The next prime is 10020120101003. The reversal of 10020120101001 is 10010102102001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10020120100999) and next prime (10020120101003).

It can be written as a sum of positive squares in 2 ways, for example, as 2372400867600 + 7647719233401 = 1540260^2 + 2765451^2 .

It is not a de Polignac number, because 10020120101001 - 2¹ = 10020120100999 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10020120101003) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5566695 + ... + 7143411.

Almost surely, 2^{10020120101001} is an apocalyptic number.

It is an amenable number.

10020120101001 is a deficient number, since it is larger than the sum of its proper divisors (4453416388411).

10020120101001 is a wasteful number, since it uses less digits than its factorization.

10020120101001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2282840 (or 2282837 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10020120101001 its reverse (10010102102001), we get a palindrome (20030222203002).

It can be divided in two parts, 10020 and 120101001, that added together give a palindrome (120111021).

The spelling of 10020120101001 in words is "ten trillion, twenty billion, one hundred twenty million, one hundred one thousand, one".