101110000211001 has 12 divisors (see below), whose sum is σ = 146385070878228. Its totient is φ = 67250993209344.

The previous prime is 101110000210991. The next prime is 101110000211021. The reversal of 101110000211001 is 100112000011101.

It can be written as a sum of positive squares in 2 ways, for example, as 7814395339776 + 93295604871225 = 2795424^2 + 9658965^2 .

It is not a de Polignac number, because 101110000211001 - 2¹⁷ = 101110000079929 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 (101110000211021) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12972795720 + ... + 12972803513.

It is an arithmetic number, because the mean of its divisors is an integer number (12198755906519).

Almost surely, 2^{101110000211001} is an apocalyptic number.

It is an amenable number.

101110000211001 is a deficient number, since it is larger than the sum of its proper divisors (45275070667227).

101110000211001 is a wasteful number, since it uses less digits than its factorization.

101110000211001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25945599672 (or 25945599669 counting only the distinct ones).

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

Adding to 101110000211001 its reverse (100112000011101), we get a palindrome (201222000222102).

The spelling of 101110000211001 in words is "one hundred one trillion, one hundred ten billion, two hundred eleven thousand, one".