101000100000010 has 64 divisors (see below), whose sum is σ = 184770675048960. Its totient is φ = 39745096796160.

The previous prime is 101000099999989. The next prime is 101000100000061. The reversal of 101000100000010 is 10000001000101.

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, 401402821 + ... + 401654359.

It is an arithmetic number, because the mean of its divisors is an integer number (2887041797640).

Almost surely, 2^{101000100000010} is an apocalyptic number.

101000100000010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101000100000010 is a deficient number, since it is larger than the sum of its proper divisors (83770575048950).

101000100000010 is a wasteful number, since it uses less digits than its factorization.

101000100000010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254111.

The product of its (nonzero) digits is 1, while the sum is 4.

Adding to 101000100000010 its reverse (10000001000101), we get a palindrome (111000101000111).

The spelling of 101000100000010 in words is "one hundred one trillion, one hundred million, ten", and thus it is an aban number.