101222031302040 has 384 divisors, whose sum is σ = 338668646400000. Its totient is φ = 24181998382080.

The previous prime is 101222031302039. The next prime is 101222031302059. The reversal of 101222031302040 is 40203130222101.

It is a super-2 number, since 2×101222031302040² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101222031301998 and 101222031302016.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 274577761 + ... + 274946159.

It is an arithmetic number, because the mean of its divisors is an integer number (881949600000).

Almost surely, 2^{101222031302040} is an apocalyptic number.

101222031302040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101222031302040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169334323200000).

101222031302040 is an abundant number, since it is smaller than the sum of its proper divisors (237446615097960).

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

101222031302040 is a wasteful number, since it uses less digits than its factorization.

101222031302040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368711 (or 368696 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 101222031302040 its reverse (40203130222101), we get a palindrome (141425161524141).

The spelling of 101222031302040 in words is "one hundred one trillion, two hundred twenty-two billion, thirty-one million, three hundred two thousand, forty".