10100001002102 has 64 divisors (see below), whose sum is σ = 17650663940160. Its totient is φ = 4319246356480.

The previous prime is 10100001002099. The next prime is 10100001002149. The reversal of 10100001002102 is 20120010000101.

It is a super-2 number, since 2×10100001002102² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10100001002102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 125630174 + ... + 125710542.

It is an arithmetic number, because the mean of its divisors is an integer number (275791624065).

Almost surely, 2^{10100001002102} is an apocalyptic number.

10100001002102 is a deficient number, since it is larger than the sum of its proper divisors (7550662938058).

10100001002102 is a wasteful number, since it uses less digits than its factorization.

10100001002102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83198 (or 83176 counting only the distinct ones).

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

Adding to 10100001002102 its reverse (20120010000101), we get a palindrome (30220011002203).

It can be divided in two parts, 1010000 and 1002102, that added together give a palindrome (2012102).

The spelling of 10100001002102 in words is "ten trillion, one hundred billion, one million, two thousand, one hundred two".