10100011100102 has 128 divisors (see below), whose sum is σ = 20276150418432. Its totient is φ = 3652632576000.

The previous prime is 10100011100093. The next prime is 10100011100117. The reversal of 10100011100102 is 20100111000101.

It is a happy number.

It is a super-2 number, since 2×10100011100102² (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 10100011100102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 67881113 + ... + 68029739.

It is an arithmetic number, because the mean of its divisors is an integer number (158407425144).

Almost surely, 2^{10100011100102} is an apocalyptic number.

10100011100102 is an abundant number, since it is smaller than the sum of its proper divisors (10176139318330).

10100011100102 is a wasteful number, since it uses less digits than its factorization.

10100011100102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149022.

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 10100011100102 its reverse (20100111000101), we get a palindrome (30200122100203).

The spelling of 10100011100102 in words is "ten trillion, one hundred billion, eleven million, one hundred thousand, one hundred two".