101011210001001 has 20 divisors (see below), whose sum is σ = 151325648050500. Its totient is φ = 67147853047776.

The previous prime is 101011210000991. The next prime is 101011210001069. The reversal of 101011210001001 is 100100012110101.

It can be written as a sum of positive squares in 2 ways, for example, as 30694935170601 + 70316274830400 = 5540301^2 + 8385480^2 .

It is not a de Polignac number, because 101011210001001 - 2⁹ = 101011210000489 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 (101011210001101) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1786579146 + ... + 1786635683.

It is an arithmetic number, because the mean of its divisors is an integer number (7566282402525).

Almost surely, 2^{101011210001001} is an apocalyptic number.

It is an amenable number.

101011210001001 is a deficient number, since it is larger than the sum of its proper divisors (50314438049499).

101011210001001 is an equidigital number, since it uses as much as digits as its factorization.

101011210001001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3573215190 (or 3573215181 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 101011210001001 its reverse (100100012110101), we get a palindrome (201111222111102).

The spelling of 101011210001001 in words is "one hundred one trillion, eleven billion, two hundred ten million, one thousand, one".