101020000122011 has 8 divisors (see below), whose sum is σ = 102613565234160. Its totient is φ = 99438461916768.

The previous prime is 101020000121993. The next prime is 101020000122037. The reversal of 101020000122011 is 110221000020101.

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 101020000122011 - 2²² = 101019995927707 is a prime.

It is a super-2 number, since 2×101020000122011² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101020000121983 and 101020000122001.

It is not an unprimeable number, because it can be changed into a prime (101020000122911) 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, 3006709796 + ... + 3006743393.

It is an arithmetic number, because the mean of its divisors is an integer number (12826695654270).

Almost surely, 2^{101020000122011} is an apocalyptic number.

101020000122011 is a deficient number, since it is larger than the sum of its proper divisors (1593565112149).

101020000122011 is a wasteful number, since it uses less digits than its factorization.

101020000122011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6013453453.

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

Adding to 101020000122011 its reverse (110221000020101), we get a palindrome (211241000142112).

The spelling of 101020000122011 in words is "one hundred one trillion, twenty billion, one hundred twenty-two thousand, eleven".