100010101002 has 16 divisors (see below), whose sum is σ = 228594516672. Its totient is φ = 28574314560.

The previous prime is 100010100977. The next prime is 100010101027. The reversal of 100010101002 is 200101010001.

It is an interprime number because it is at equal distance from previous prime (100010100977) and next prime (100010101027).

It is a Harshad number since it is a multiple of its sum of digits (6).

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 7 ways as a sum of consecutive naturals, for example, 1190596399 + ... + 1190596482.

It is an arithmetic number, because the mean of its divisors is an integer number (14287157292).

Almost surely, 2^100010101002 is an apocalyptic number.

100010101002 is an abundant number, since it is smaller than the sum of its proper divisors (128584415670).

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

100010101002 is a wasteful number, since it uses less digits than its factorization.

100010101002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2381192893.

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 100010101002 its reverse (200101010001), we get a palindrome (300111111003).

The spelling of 100010101002 in words is "one hundred billion, ten million, one hundred one thousand, two".