101022122101011 has 48 divisors (see below), whose sum is σ = 144185636335104. Its totient is φ = 62875427805568.

The previous prime is 101022122101007. The next prime is 101022122101027. The reversal of 101022122101011 is 110101221220101.

It is a happy number.

It is not a de Polignac number, because 101022122101011 - 2² = 101022122101007 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101022122101091) 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, 4710145 + ... + 14974301.

It is an arithmetic number, because the mean of its divisors is an integer number (3003867423648).

Almost surely, 2^{101022122101011} is an apocalyptic number.

101022122101011 is a deficient number, since it is larger than the sum of its proper divisors (43163514234093).

101022122101011 is a wasteful number, since it uses less digits than its factorization.

101022122101011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10264348 (or 10264319 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 101022122101011 its reverse (110101221220101), we get a palindrome (211123343321112).

The spelling of 101022122101011 in words is "one hundred one trillion, twenty-two billion, one hundred twenty-two million, one hundred one thousand, eleven".