101211012123 has 16 divisors (see below), whose sum is σ = 147375518976. Its totient is φ = 61406462880.

The previous prime is 101211012109. The next prime is 101211012127. The reversal of 101211012123 is 321210112101.

It is not a de Polignac number, because 101211012123 - 2⁹ = 101211011611 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101211012127) 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 15 ways as a sum of consecutive naturals, for example, 18272965 + ... + 18278502.

It is an arithmetic number, because the mean of its divisors is an integer number (9210969936).

Almost surely, 2^101211012123 is an apocalyptic number.

101211012123 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

101211012123 is a deficient number, since it is larger than the sum of its proper divisors (46164506853).

101211012123 is a wasteful number, since it uses less digits than its factorization.

101211012123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36551554.

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 101211012123 its reverse (321210112101), we get a palindrome (422421124224).

The spelling of 101211012123 in words is "one hundred one billion, two hundred eleven million, twelve thousand, one hundred twenty-three".