100201102201010 has 16 divisors (see below), whose sum is σ = 182832696072216. Its totient is φ = 39531393744768.

The previous prime is 100201102201001. The next prime is 100201102201069. The reversal of 100201102201010 is 10102201102001.

It can be written as a sum of positive squares in 4 ways, for example, as 79712415968761 + 20488686232249 = 8928181^2 + 4526443^2 .

It is a junction number, because it is equal to n+sod(n) for n = 100201102200982 and 100201102201000.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 68630891189 + ... + 68630892648.

Almost surely, 2^{100201102201010} is an apocalyptic number.

100201102201010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100201102201010 is a deficient number, since it is larger than the sum of its proper divisors (82631593871206).

100201102201010 is a wasteful number, since it uses less digits than its factorization.

100201102201010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137261783917.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 100201102201010 its reverse (10102201102001), we get a palindrome (110303303303011).

The spelling of 100201102201010 in words is "one hundred trillion, two hundred one billion, one hundred two million, two hundred one thousand, ten".