100350201961 has 27 divisors (see below), whose sum is σ = 105471983799. Its totient is φ = 95475259152.

The previous prime is 100350201949. The next prime is 100350201967. The reversal of 100350201961 is 169102053001.

The square root of 100350201961 is 316781.

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

It can be written as a sum of positive squares in only one way, i.e., 72342171225 + 28008030736 = 268965^2 + 167356^2 .

It is not a de Polignac number, because 100350201961 - 2¹⁷ = 100350070889 is a prime.

It is a super-2 number, since 2×100350201961² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100350201967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 721943830 + ... + 721943968.

Almost surely, 2^100350201961 is an apocalyptic number.

100350201961 is the 316781-st square number.

100350201961 is the 158391-st centered octagonal number.

It is an amenable number.

100350201961 is a deficient number, since it is larger than the sum of its proper divisors (5121781838).

100350201961 is an frugal number, since it uses more digits than its factorization.

100350201961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 28.

Adding to 100350201961 its reverse (169102053001), we get a palindrome (269452254962).

The spelling of 100350201961 in words is "one hundred billion, three hundred fifty million, two hundred one thousand, nine hundred sixty-one".