100010102001 has 32 divisors (see below), whose sum is σ = 141256894080. Its totient is φ = 62763724800.

The previous prime is 100010101991. The next prime is 100010102011. The reversal of 100010102001 is 100201010001.

It is an interprime number because it is at equal distance from previous prime (100010101991) and next prime (100010102011).

It is not a de Polignac number, because 100010102001 - 2⁹ = 100010101489 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100010102011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10347111 + ... + 10356771.

It is an arithmetic number, because the mean of its divisors is an integer number (4414277940).

Almost surely, 2^100010102001 is an apocalyptic number.

It is an amenable number.

100010102001 is a deficient number, since it is larger than the sum of its proper divisors (41246792079).

100010102001 is a wasteful number, since it uses less digits than its factorization.

100010102001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10817.

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 100010102001 its reverse (100201010001), we get a palindrome (200211112002).

The spelling of 100010102001 in words is "one hundred billion, ten million, one hundred two thousand, one".