1010010100101 has 32 divisors (see below), whose sum is σ = 1441828340736. Its totient is φ = 627730560000.

The previous prime is 1010010100091. The next prime is 1010010100139.

1010010100101 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1010010100101 - 2¹⁸ = 1010009837957 is a prime.

1010010100101 is a strobogrammatic number because it is the same when read upside-down.

1010010100101 is a modest number, since divided by 10100101 gives 101 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 1010010100101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010010100301) 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, 1105540 + ... + 1800621.

It is an arithmetic number, because the mean of its divisors is an integer number (45057135648).

Almost surely, 2^{1010010100101} is an apocalyptic number.

It is an amenable number.

1010010100101 is a deficient number, since it is larger than the sum of its proper divisors (431818240635).

1010010100101 is a wasteful number, since it uses less digits than its factorization.

1010010100101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2906333.

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

It can be divided in two parts, 1010010 and 100101, that added together give a palindrome (1110111).

The spelling of 1010010100101 in words is "one trillion, ten billion, ten million, one hundred thousand, one hundred one".