101011102101123 has 16 divisors (see below), whose sum is σ = 136694801241216. Its totient is φ = 66334115327040.

The previous prime is 101011102101109. The next prime is 101011102101131. The reversal of 101011102101123 is 321101201110101.

It is not a de Polignac number, because 101011102101123 - 2¹⁸ = 101011101838979 is a prime.

It is a super-2 number, since 2×101011102101123² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101011102101023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2937415 + ... + 14513807.

It is an arithmetic number, because the mean of its divisors is an integer number (8543425077576).

Almost surely, 2^{101011102101123} is an apocalyptic number.

101011102101123 is a deficient number, since it is larger than the sum of its proper divisors (35683699140093).

101011102101123 is a wasteful number, since it uses less digits than its factorization.

101011102101123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11619874.

The product of its (nonzero) digits is 12, while the sum is 15.

Adding to 101011102101123 its reverse (321101201110101), we get a palindrome (422112303211224).

The spelling of 101011102101123 in words is "one hundred one trillion, eleven billion, one hundred two million, one hundred one thousand, one hundred twenty-three".