2010102100001 has 8 divisors (see below), whose sum is σ = 2048055675624. Its totient is φ = 1972149528960.

The previous prime is 2010102099991. The next prime is 2010102100009. The reversal of 2010102100001 is 1000012010102.

It can be written as a sum of positive squares in 4 ways, for example, as 5261326225 + 2004840773776 = 72535^2 + 1415924^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2010102100001 - 2¹⁸ = 2010101837857 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2010102100009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4701965 + ... + 5111621.

It is an arithmetic number, because the mean of its divisors is an integer number (256006959453).

Almost surely, 2^{2010102100001} is an apocalyptic number.

It is an amenable number.

2010102100001 is a deficient number, since it is larger than the sum of its proper divisors (37953575623).

2010102100001 is an equidigital number, since it uses as much as digits as its factorization.

2010102100001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502291.

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 2010102100001 its reverse (1000012010102), we get a palindrome (3010114110103).

It can be divided in two parts, 2010102 and 100001, that multiplied together give a palindrome (201012210102).

The spelling of 2010102100001 in words is "two trillion, ten billion, one hundred two million, one hundred thousand, one".