100000101010101 has 32 divisors (see below), whose sum is σ = 136409368965120. Its totient is φ = 65146625544000.

The previous prime is 100000101010049. The next prime is 100000101010111. The reversal of 100000101010101 is 101010101000001.

It is not a de Polignac number, because 100000101010101 - 2¹⁵ = 100000100977333 is a prime.

100000101010101 is a modest number, since divided by 1010101 gives 1000001 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 100000101010101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100000101010111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62959846 + ... + 64528616.

It is an arithmetic number, because the mean of its divisors is an integer number (4262792780160).

Almost surely, 2^{100000101010101} is an apocalyptic number.

It is an amenable number.

100000101010101 is a deficient number, since it is larger than the sum of its proper divisors (36409267955019).

100000101010101 is a wasteful number, since it uses less digits than its factorization.

100000101010101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1571617.

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 100000101010101 its reverse (101010101000001), we get a palindrome (201010202010102).

The spelling of 100000101010101 in words is "one hundred trillion, one hundred one million, ten thousand, one hundred one".