2011102201001 has 8 divisors (see below), whose sum is σ = 2052024689544. Its totient is φ = 1970436280320.

The previous prime is 2011102200931. The next prime is 2011102201021. The reversal of 2011102201001 is 1001022011102.

It can be written as a sum of positive squares in 4 ways, for example, as 59350704400 + 1951751496601 = 243620^2 + 1397051^2 .

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 2011102201001 - 2¹⁴ = 2011102184617 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2011102201021) 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, 64126130 + ... + 64157483.

It is an arithmetic number, because the mean of its divisors is an integer number (256503086193).

Almost surely, 2^{2011102201001} is an apocalyptic number.

It is an amenable number.

2011102201001 is a deficient number, since it is larger than the sum of its proper divisors (40922488543).

2011102201001 is a wasteful number, since it uses less digits than its factorization.

2011102201001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128283931.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 2011102201001 its reverse (1001022011102), we get a palindrome (3012124212103).

The spelling of 2011102201001 in words is "two trillion, eleven billion, one hundred two million, two hundred one thousand, one".