101020122102011 has 48 divisors (see below), whose sum is σ = 119078336805120. Its totient is φ = 85442098392000.

The previous prime is 101020122101993. The next prime is 101020122102079. The reversal of 101020122102011 is 110201221020101.

It is not a de Polignac number, because 101020122102011 - 2²² = 101020117907707 is a prime.

It is a super-2 number, since 2×101020122102011² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101020122902011) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3132293636 + ... + 3132325886.

It is an arithmetic number, because the mean of its divisors is an integer number (2480798683440).

Almost surely, 2^{101020122102011} is an apocalyptic number.

101020122102011 is a deficient number, since it is larger than the sum of its proper divisors (18058214703109).

101020122102011 is a wasteful number, since it uses less digits than its factorization.

101020122102011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34704 (or 34697 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 101020122102011 its reverse (110201221020101), we get a palindrome (211221343122112).

The spelling of 101020122102011 in words is "one hundred one trillion, twenty billion, one hundred twenty-two million, one hundred two thousand, eleven".