10210100012 has 36 divisors (see below), whose sum is σ = 20841627744. Its totient is φ = 4363803360.

The previous prime is 10210100003. The next prime is 10210100027. The reversal of 10210100012 is 21000101201.

It is a super-2 number, since 2×10210100012² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 962 + ... + 142902.

It is an arithmetic number, because the mean of its divisors is an integer number (578934104).

Almost surely, 2^10210100012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10210100012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10420813872).

10210100012 is an abundant number, since it is smaller than the sum of its proper divisors (10631527732).

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

10210100012 is a wasteful number, since it uses less digits than its factorization.

10210100012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142326 (or 142317 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 10210100012 its reverse (21000101201), we get a palindrome (31210201213).

The spelling of 10210100012 in words is "ten billion, two hundred ten million, one hundred thousand, twelve".