20100110201001 has 16 divisors (see below), whose sum is σ = 29781693144000. Its totient is φ = 13398385019904.

The previous prime is 20100110200991. The next prime is 20100110201011. The reversal of 20100110201001 is 10010201100102.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (20100110200991) and next prime (20100110201011).

It is not a de Polignac number, because 20100110201001 - 2¹⁷ = 20100110069929 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 (20100110201011) 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, 46683051 + ... + 47111648.

It is an arithmetic number, because the mean of its divisors is an integer number (1861355821500).

Almost surely, 2^{20100110201001} is an apocalyptic number.

It is an amenable number.

20100110201001 is a deficient number, since it is larger than the sum of its proper divisors (9681582942999).

20100110201001 is an equidigital number, since it uses as much as digits as its factorization.

20100110201001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93802645 (or 93802639 counting only the distinct ones).

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

Adding to 20100110201001 its reverse (10010201100102), we get a palindrome (30110311301103).

The spelling of 20100110201001 in words is "twenty trillion, one hundred billion, one hundred ten million, two hundred one thousand, one".