101124331010010 has 144 divisors (see below), whose sum is σ = 330283765663488. Its totient is φ = 21012847986240.

The previous prime is 101124331010009. The next prime is 101124331010011. The reversal of 101124331010010 is 10010133421101.

It is a happy number.

101124331010010 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 243 + 310 + 100 + 10 = 666.

It is an interprime number because it is at equal distance from previous prime (101124331010009) and next prime (101124331010011).

It is a super-2 number, since 2×101124331010010² (a number of 29 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (101124331010011) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 663208114 + ... + 663360573.

It is an arithmetic number, because the mean of its divisors is an integer number (2293637261552).

Almost surely, 2^{101124331010010} is an apocalyptic number.

101124331010010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101124331010010 is an abundant number, since it is smaller than the sum of its proper divisors (229159434653478).

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

101124331010010 is a wasteful number, since it uses less digits than its factorization.

101124331010010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1326568729 (or 1326568715 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 101124331010010 its reverse (10010133421101), we get a palindrome (111134464431111).

The spelling of 101124331010010 in words is "one hundred one trillion, one hundred twenty-four billion, three hundred thirty-one million, ten thousand, ten".