10101005150100 has 72 divisors (see below), whose sum is σ = 29262711004128. Its totient is φ = 2690178691200.

The previous prime is 10101005150053. The next prime is 10101005150101. The reversal of 10101005150100 is 105150010101.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10101005150100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10101005150101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21155271 + ... + 21627470.

It is an arithmetic number, because the mean of its divisors is an integer number (406426541724).

Almost surely, 2^{10101005150100} is an apocalyptic number.

10101005150100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10101005150100 is an abundant number, since it is smaller than the sum of its proper divisors (19161705854028).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10101005150100 is a wasteful number, since it uses less digits than its factorization.

10101005150100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42783545 (or 42783538 counting only the distinct ones).

The product of its (nonzero) digits is 25, while the sum is 15.

Adding to 10101005150100 its reverse (105150010101), we get a palindrome (10206155160201).

The spelling of 10101005150100 in words is "ten trillion, one hundred one billion, five million, one hundred fifty thousand, one hundred".