10101101100002 has 16 divisors (see below), whose sum is σ = 16529124814272. Its totient is φ = 4591395622320.

The previous prime is 10101101099983. The next prime is 10101101100043. The reversal of 10101101100002 is 20000110110101.

It is a happy number.

It is a super-4 number, since 4×10101101100002⁴ (a number of 53 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11206928 + ... + 12074660.

It is an arithmetic number, because the mean of its divisors is an integer number (1033070300892).

Almost surely, 2^{10101101100002} is an apocalyptic number.

10101101100002 is a deficient number, since it is larger than the sum of its proper divisors (6428023714270).

10101101100002 is a wasteful number, since it uses less digits than its factorization.

10101101100002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1396873.

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

Adding to 10101101100002 its reverse (20000110110101), we get a palindrome (30101211210103).

It can be divided in two parts, 1010110 and 1100002, that added together give a palindrome (2110112).

The spelling of 10101101100002 in words is "ten trillion, one hundred one billion, one hundred one million, one hundred thousand, two".