10100001020102 has 32 divisors (see below), whose sum is σ = 18597516096000. Its totient is φ = 4100752288584.

The previous prime is 10100001020077. The next prime is 10100001020147. The reversal of 10100001020102 is 20102010000101.

It is a super-2 number, since 2×10100001020102² (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 10100001020102.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 387435218 + ... + 387461285.

It is an arithmetic number, because the mean of its divisors is an integer number (581172378000).

Almost surely, 2^{10100001020102} is an apocalyptic number.

10100001020102 is a deficient number, since it is larger than the sum of its proper divisors (8497515075898).

10100001020102 is an equidigital number, since it uses as much as digits as its factorization.

10100001020102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 774896545 (or 774896531 counting only the distinct ones).

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

Adding to 10100001020102 its reverse (20102010000101), we get a palindrome (30202011020203).

The spelling of 10100001020102 in words is "ten trillion, one hundred billion, one million, twenty thousand, one hundred two".