101011120201001 has 4 divisors (see below), whose sum is σ = 103474806059604. Its totient is φ = 98547434342400.

The previous prime is 101011120200971. The next prime is 101011120201091. The reversal of 101011120201001 is 100102021110101.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 31800351072400 + 69210769128601 = 5639180^2 + 8319301^2 .

It is a cyclic number.

It is not a de Polignac number, because 101011120201001 - 2¹⁸ = 101011119938857 is a prime.

It is a super-2 number, since 2×101011120201001² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101011120201091) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1231842929240 + ... + 1231842929321.

It is an arithmetic number, because the mean of its divisors is an integer number (25868701514901).

Almost surely, 2^{101011120201001} is an apocalyptic number.

It is an amenable number.

101011120201001 is a deficient number, since it is larger than the sum of its proper divisors (2463685858603).

101011120201001 is an equidigital number, since it uses as much as digits as its factorization.

101011120201001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2463685858602.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 101011120201001 its reverse (100102021110101), we get a palindrome (201113141311102).

The spelling of 101011120201001 in words is "one hundred one trillion, eleven billion, one hundred twenty million, two hundred one thousand, one".