101012022111 has 48 divisors (see below), whose sum is σ = 184061904768. Its totient is φ = 48437323200.

The previous prime is 101012022109. The next prime is 101012022113. The reversal of 101012022111 is 111220210101.

It is an interprime number because it is at equal distance from previous prime (101012022109) and next prime (101012022113).

It is not a de Polignac number, because 101012022111 - 2¹ = 101012022109 is a prime.

It is a super-2 number, since 2×101012022111² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101012022113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2381625 + ... + 2423666.

It is an arithmetic number, because the mean of its divisors is an integer number (3834623016).

Almost surely, 2^101012022111 is an apocalyptic number.

101012022111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101012022111 is a deficient number, since it is larger than the sum of its proper divisors (83049882657).

101012022111 is a wasteful number, since it uses less digits than its factorization.

101012022111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4805332 (or 4805325 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 101012022111 its reverse (111220210101), we get a palindrome (212232232212).

The spelling of 101012022111 in words is "one hundred one billion, twelve million, twenty-two thousand, one hundred eleven".