1008010300101 has 32 divisors (see below), whose sum is σ = 1618668361728. Its totient is φ = 545507054400.

The previous prime is 1008010300097. The next prime is 1008010300109. The reversal of 1008010300101 is 1010030108001.

It is not a de Polignac number, because 1008010300101 - 2² = 1008010300097 is a prime.

It is a super-2 number, since 2×1008010300101² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1008010300109) 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, 10282791 + ... + 10380356.

It is an arithmetic number, because the mean of its divisors is an integer number (50583386304).

Almost surely, 2^{1008010300101} is an apocalyptic number.

It is an amenable number.

1008010300101 is a deficient number, since it is larger than the sum of its proper divisors (610658061627).

1008010300101 is a wasteful number, since it uses less digits than its factorization.

1008010300101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20663281.

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 1008010300101 its reverse (1010030108001), we get a palindrome (2018040408102).

The spelling of 1008010300101 in words is "one trillion, eight billion, ten million, three hundred thousand, one hundred one".