101015145001 has 16 divisors (see below), whose sum is σ = 113215579200. Its totient is φ = 89566000128.

The previous prime is 101015144921. The next prime is 101015145013. The reversal of 101015145001 is 100541510101.

It is a cyclic number.

It is not a de Polignac number, because 101015145001 - 2⁷ = 101015144873 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 101015145001.

It is not an unprimeable number, because it can be changed into a prime (101015145071) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 815760 + ... + 931393.

It is an arithmetic number, because the mean of its divisors is an integer number (7075973700).

Almost surely, 2^101015145001 is an apocalyptic number.

It is an amenable number.

101015145001 is a deficient number, since it is larger than the sum of its proper divisors (12200434199).

101015145001 is a wasteful number, since it uses less digits than its factorization.

101015145001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1747368.

The product of its (nonzero) digits is 100, while the sum is 19.

Adding to 101015145001 its reverse (100541510101), we get a palindrome (201556655102).

It can be divided in two parts, 101015 and 145001, that added together give a square (246016 = 496²).

The spelling of 101015145001 in words is "one hundred one billion, fifteen million, one hundred forty-five thousand, one".