101122011001011 has 128 divisors (see below), whose sum is σ = 191291622359040. Its totient is φ = 45794697062400.

The previous prime is 101122011001009. The next prime is 101122011001019. The reversal of 101122011001011 is 110100110221101.

It is not a de Polignac number, because 101122011001011 - 2¹ = 101122011001009 is a prime.

It is a super-2 number, since 2×101122011001011² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101122011001019) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3809830 + ... + 14722731.

It is an arithmetic number, because the mean of its divisors is an integer number (1494465799680).

Almost surely, 2^{101122011001011} is an apocalyptic number.

101122011001011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101122011001011 is a deficient number, since it is larger than the sum of its proper divisors (90169611358029).

101122011001011 is a wasteful number, since it uses less digits than its factorization.

101122011001011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18532697.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 101122011001011 its reverse (110100110221101), we get a palindrome (211222121222112).

The spelling of 101122011001011 in words is "one hundred one trillion, one hundred twenty-two billion, eleven million, one thousand, eleven".