10200101221002 has 128 divisors (see below), whose sum is σ = 25664708855808. Its totient is φ = 2625437318400.

The previous prime is 10200101220989. The next prime is 10200101221021. The reversal of 10200101221002 is 20012210100201.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26866677 + ... + 27243687.

It is an arithmetic number, because the mean of its divisors is an integer number (200505537936).

Almost surely, 2^{10200101221002} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10200101221002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12832354427904).

10200101221002 is an abundant number, since it is smaller than the sum of its proper divisors (15464607634806).

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

10200101221002 is a wasteful number, since it uses less digits than its factorization.

10200101221002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377564.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10200101221002 its reverse (20012210100201), we get a palindrome (30212311321203).

The spelling of 10200101221002 in words is "ten trillion, two hundred billion, one hundred one million, two hundred twenty-one thousand, two".