101220101012011 has 16 divisors (see below), whose sum is σ = 105003269252640. Its totient is φ = 97456590443520.

The previous prime is 101220101011993. The next prime is 101220101012029. The reversal of 101220101012011 is 110210101022101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (101220101011993) and next prime (101220101012029).

It is a cyclic number.

It is not a de Polignac number, because 101220101012011 - 2⁹ = 101220101011499 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101220101011982 and 101220101012000.

It is not an unprimeable number, because it can be changed into a prime (101220101012071) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40427176 + ... + 42857866.

It is an arithmetic number, because the mean of its divisors is an integer number (6562704328290).

Almost surely, 2^{101220101012011} is an apocalyptic number.

101220101012011 is a deficient number, since it is larger than the sum of its proper divisors (3783168240629).

101220101012011 is a wasteful number, since it uses less digits than its factorization.

101220101012011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2434734.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 101220101012011 its reverse (110210101022101), we get a palindrome (211430202034112).

The spelling of 101220101012011 in words is "one hundred one trillion, two hundred twenty billion, one hundred one million, twelve thousand, eleven".