101144134123010 has 64 divisors (see below), whose sum is σ = 198712588072320. Its totient is φ = 36760748037120.

The previous prime is 101144134123009. The next prime is 101144134123033. The reversal of 101144134123010 is 10321431441101.

It is a super-2 number, since 2×101144134123010² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1781336801 + ... + 1781393579.

It is an arithmetic number, because the mean of its divisors is an integer number (3104884188630).

Almost surely, 2^{101144134123010} is an apocalyptic number.

101144134123010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101144134123010 is a deficient number, since it is larger than the sum of its proper divisors (97568453949310).

101144134123010 is a wasteful number, since it uses less digits than its factorization.

101144134123010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64851.

The product of its (nonzero) digits is 1152, while the sum is 26.

Adding to 101144134123010 its reverse (10321431441101), we get a palindrome (111465565564111).

The spelling of 101144134123010 in words is "one hundred one trillion, one hundred forty-four billion, one hundred thirty-four million, one hundred twenty-three thousand, ten".