10211210011002 has 256 divisors, whose sum is σ = 28170215313408. Its totient is φ = 2381328046080.

The previous prime is 10211210010997. The next prime is 10211210011007. The reversal of 10211210011002 is 20011001211201.

It is an interprime number because it is at equal distance from previous prime (10211210010997) and next prime (10211210011007).

It is a super-2 number, since 2×10211210011002² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10211210011007) 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 127 ways as a sum of consecutive naturals, for example, 1065105253 + ... + 1065114839.

It is an arithmetic number, because the mean of its divisors is an integer number (110039903568).

Almost surely, 2^{10211210011002} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10211210011002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14085107656704).

10211210011002 is an abundant number, since it is smaller than the sum of its proper divisors (17959005302406).

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

10211210011002 is a wasteful number, since it uses less digits than its factorization.

10211210011002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14453.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10211210011002 its reverse (20011001211201), we get a palindrome (30222211222203).

The spelling of 10211210011002 in words is "ten trillion, two hundred eleven billion, two hundred ten million, eleven thousand, two".