100020102110001 has 24 divisors (see below), whose sum is σ = 148700031263784. Its totient is φ = 64737170991360.

The previous prime is 100020102109987. The next prime is 100020102110009. The reversal of 100020102110001 is 100011201020001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 26537900735025 + 73482201374976 = 5151495^2 + 8572176^2 .

It is not a de Polignac number, because 100020102110001 - 2⁹ = 100020102109489 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (100020102110009) 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, 325617276 + ... + 325924301.

It is an arithmetic number, because the mean of its divisors is an integer number (6195834635991).

Almost surely, 2^{100020102110001} is an apocalyptic number.

It is an amenable number.

100020102110001 is a deficient number, since it is larger than the sum of its proper divisors (48679929153783).

100020102110001 is a wasteful number, since it uses less digits than its factorization.

100020102110001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 651542081 (or 651542078 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 100020102110001 its reverse (100011201020001), we get a palindrome (200031303130002).

The spelling of 100020102110001 in words is "one hundred trillion, twenty billion, one hundred two million, one hundred ten thousand, one".