210000101102001 has 48 divisors (see below), whose sum is σ = 350551922273280. Its totient is φ = 118662098364000.

The previous prime is 210000101101979. The next prime is 210000101102023. The reversal of 210000101102001 is 100201101000012.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (210000101101979) and next prime (210000101102023).

It is not a de Polignac number, because 210000101102001 - 2¹⁸ = 210000100839857 is a prime.

It is a super-2 number, since 2×210000101102001² (a number of 29 digits) contains 22 as substring.

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 (210000101102501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45572565 + ... + 49968578.

It is an arithmetic number, because the mean of its divisors is an integer number (7303165047360).

Almost surely, 2^{210000101102001} is an apocalyptic number.

210000101102001 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

210000101102001 is a deficient number, since it is larger than the sum of its proper divisors (140551821171279).

210000101102001 is a wasteful number, since it uses less digits than its factorization.

210000101102001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95541546 (or 95541543 counting only the distinct ones).

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

Adding to 210000101102001 its reverse (100201101000012), we get a palindrome (310201202102013).

The spelling of 210000101102001 in words is "two hundred ten trillion, one hundred one million, one hundred two thousand, one".