101201021022002 has 24 divisors (see below), whose sum is σ = 167919007466028. Its totient is φ = 45707467497120.

The previous prime is 101201021021983. The next prime is 101201021022007. The reversal of 101201021022002 is 200220120102101.

It can be written as a sum of positive squares in 2 ways, for example, as 101027847690121 + 173173331881 = 10051261^2 + 416141^2 .

It is not an unprimeable number, because it can be changed into a prime (101201021022007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1331764673 + ... + 1331840660.

Almost surely, 2^{101201021022002} is an apocalyptic number.

101201021022002 is a deficient number, since it is larger than the sum of its proper divisors (66717986444026).

101201021022002 is a wasteful number, since it uses less digits than its factorization.

101201021022002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2663605514 (or 2663605503 counting only the distinct ones).

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

Adding to 101201021022002 its reverse (200220120102101), we get a palindrome (301421141124103).

The spelling of 101201021022002 in words is "one hundred one trillion, two hundred one billion, twenty-one million, twenty-two thousand, two".