101507155890388 has 24 divisors (see below), whose sum is σ = 180742302774824. Its totient is φ = 49868273894400.

The previous prime is 101507155890359. The next prime is 101507155890457. The reversal of 101507155890388 is 883098551705101.

It is a happy number.

101507155890388 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 343832122384 + 101163323768004 = 586372^2 + 10057998^2 .

It is a super-4 number, since 4×101507155890388⁴ (a number of 57 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (61).

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 7 ways as a sum of consecutive naturals, for example, 221763333 + ... + 222220588.

Almost surely, 2^{101507155890388} is an apocalyptic number.

It is an amenable number.

101507155890388 is a deficient number, since it is larger than the sum of its proper divisors (79235146884436).

101507155890388 is a wasteful number, since it uses less digits than its factorization.

101507155890388 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443984923 (or 443984921 counting only the distinct ones).

The product of its (nonzero) digits is 12096000, while the sum is 61.

The spelling of 101507155890388 in words is "one hundred one trillion, five hundred seven billion, one hundred fifty-five million, eight hundred ninety thousand, three hundred eighty-eight".