101302424233100 has 72 divisors (see below), whose sum is σ = 220434059598480. Its totient is φ = 40409041029120.

The previous prime is 101302424233099. The next prime is 101302424233151. The reversal of 101302424233100 is 1332424203101.

It is a super-2 number, since 2×101302424233100² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 101302424233100.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 74466212 + ... + 75814388.

It is an arithmetic number, because the mean of its divisors is an integer number (3061584161090).

Almost surely, 2^{101302424233100} is an apocalyptic number.

101302424233100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101302424233100 is an abundant number, since it is smaller than the sum of its proper divisors (119131635365380).

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

101302424233100 is a wasteful number, since it uses less digits than its factorization.

101302424233100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1350267 (or 1350260 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 101302424233100 its reverse (1332424203101), we get a palindrome (102634848436201).

The spelling of 101302424233100 in words is "one hundred one trillion, three hundred two billion, four hundred twenty-four million, two hundred thirty-three thousand, one hundred".