101077212040 has 32 divisors (see below), whose sum is σ = 259912831680. Its totient is φ = 34655044032.

The previous prime is 101077212029. The next prime is 101077212059. The reversal of 101077212040 is 40212770101.

101077212040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 101077211996 and 101077212014.

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 7 ways as a sum of consecutive naturals, for example, 180494742 + ... + 180495301.

It is an arithmetic number, because the mean of its divisors is an integer number (8122275990).

Almost surely, 2^101077212040 is an apocalyptic number.

101077212040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101077212040 is an abundant number, since it is smaller than the sum of its proper divisors (158835619640).

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

101077212040 is a wasteful number, since it uses less digits than its factorization.

101077212040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360990061 (or 360990057 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 25.

Adding to 101077212040 its reverse (40212770101), we get a palindrome (141289982141).

The spelling of 101077212040 in words is "one hundred one billion, seventy-seven million, two hundred twelve thousand, forty".