100987445661001 has 3 divisors (see below), whose sum is σ = 100987455710253. Its totient is φ = 100987435611750.

The previous prime is 100987445660987. The next prime is 100987445661073. The reversal of 100987445661001 is 100166544789001.

It is a happy number.

The square root of 100987445661001 is 10049251.

It is a perfect power (a square), and thus also a powerful number.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It is not a de Polignac number, because 100987445661001 - 2¹⁹ = 100987445136713 is a prime.

It is a super-2 number, since 2×100987445661001² (a number of 29 digits) contains 22 as substring.

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 100987445661001.

It is not an unprimeable number, because it can be changed into a prime (100987445667001) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 5024626 + ... + 15073876.

It is an arithmetic number, because the mean of its divisors is an integer number (33662485236751).

Almost surely, 2^{100987445661001} is an apocalyptic number.

100987445661001 is the 10049251-st square number.

100987445661001 is the 5024626-th centered octagonal number.

It is an amenable number.

100987445661001 is a deficient number, since it is larger than the sum of its proper divisors (10049252).

100987445661001 is an frugal number, since it uses more digits than its factorization.

100987445661001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20098502 (or 10049251 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 52.

The spelling of 100987445661001 in words is "one hundred trillion, nine hundred eighty-seven billion, four hundred forty-five million, six hundred sixty-one thousand, one".