10201000021002 has 72 divisors (see below), whose sum is σ = 25721671710852. Its totient is φ = 2913325833600.

The previous prime is 10201000020941. The next prime is 10201000021021. The reversal of 10201000021002 is 20012000010201.

It can be written as a sum of positive squares in 2 ways, for example, as 9835242382161 + 365757638841 = 3136119^2 + 604779^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 405499 + ... + 4535022.

Almost surely, 2^{10201000021002} is an apocalyptic number.

10201000021002 is an abundant number, since it is smaller than the sum of its proper divisors (15520671689850).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10201000021002 is a wasteful number, since it uses less digits than its factorization.

10201000021002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4942884 (or 4942874 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10201000021002 its reverse (20012000010201), we get a palindrome (30213000031203).

The spelling of 10201000021002 in words is "ten trillion, two hundred one billion, twenty-one thousand, two".