101124413000 has 64 divisors (see below), whose sum is σ = 254833553520. Its totient is φ = 37338240000.

The previous prime is 101124412993. The next prime is 101124413003. The reversal of 101124413000 is 314421101.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1658607076 + 99465805924 = 40726^2 + 315382^2 .

It is a super-2 number, since 2×101124413000² (a number of 23 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 101124413000.

It is not an unprimeable number, because it can be changed into a prime (101124413003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3876401 + ... + 3902400.

Almost surely, 2^101124413000 is an apocalyptic number.

101124413000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101124413000 is an abundant number, since it is smaller than the sum of its proper divisors (153709140520).

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

101124413000 is a wasteful number, since it uses less digits than its factorization.

101124413000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7778835 (or 7778821 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 101124413000 its reverse (314421101), we get a palindrome (101438834101).

The spelling of 101124413000 in words is "one hundred one billion, one hundred twenty-four million, four hundred thirteen thousand".