1000101010101 has 32 divisors (see below), whose sum is σ = 1369761539328. Its totient is φ = 648888422400.

The previous prime is 1000101010057. The next prime is 1000101010109. The reversal of 1000101010101 is 1010101010001.

It is not a de Polignac number, because 1000101010101 - 2²² = 1000096815797 is a prime.

1000101010101 is a modest number, since divided by 1010101 gives 10001 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 1000101010101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000101010109) 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, 4910701 + ... + 5110301.

It is an arithmetic number, because the mean of its divisors is an integer number (42805048104).

Almost surely, 2^{1000101010101} is an apocalyptic number.

It is an amenable number.

1000101010101 is a deficient number, since it is larger than the sum of its proper divisors (369660529227).

1000101010101 is a wasteful number, since it uses less digits than its factorization.

1000101010101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199981.

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

Adding to 1000101010101 its reverse (1010101010001), we get a palindrome (2010202020102).

It can be divided in two parts, 100010 and 1010101, that added together give a palindrome (1110111).

The spelling of 1000101010101 in words is "one trillion, one hundred one million, ten thousand, one hundred one".