10102211020002 has 24 divisors (see below), whose sum is σ = 20925150541776. Its totient is φ = 3251286303664.

The previous prime is 10102211019983. The next prime is 10102211020007. The reversal of 10102211020002 is 20002011220101.

It is a super-3 number, since 3×10102211020002³ (a number of 40 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10102211020002.

It is not an unprimeable number, because it can be changed into a prime (10102211020007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1001006748 + ... + 1001016839.

It is an arithmetic number, because the mean of its divisors is an integer number (871881272574).

Almost surely, 2^{10102211020002} is an apocalyptic number.

10102211020002 is an abundant number, since it is smaller than the sum of its proper divisors (10822939521774).

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

10102211020002 is a wasteful number, since it uses less digits than its factorization.

10102211020002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2002023650 (or 2002023621 counting only the distinct ones).

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

Adding to 10102211020002 its reverse (20002011220101), we get a palindrome (30104222240103).

The spelling of 10102211020002 in words is "ten trillion, one hundred two billion, two hundred eleven million, twenty thousand, two".