101123313102 has 96 divisors (see below), whose sum is σ = 253760532480. Its totient is φ = 28505243520.

The previous prime is 101123313037. The next prime is 101123313119. The reversal of 101123313102 is 201313321101.

101123313102 is a `hidden beast` number, since 10 + 1 + 12 + 331 + 310 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17127883 + ... + 17133785.

It is an arithmetic number, because the mean of its divisors is an integer number (2643338880).

Almost surely, 2^101123313102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101123313102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126880266240).

101123313102 is an abundant number, since it is smaller than the sum of its proper divisors (152637219378).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101123313102 is a wasteful number, since it uses less digits than its factorization.

101123313102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7718 (or 7715 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 101123313102 its reverse (201313321101), we get a palindrome (302436634203).

The spelling of 101123313102 in words is "one hundred one billion, one hundred twenty-three million, three hundred thirteen thousand, one hundred two".