101021021011038 has 16 divisors (see below), whose sum is σ = 202042140527376. Its totient is φ = 33673657252800.

The previous prime is 101021021010997. The next prime is 101021021011039. The reversal of 101021021011038 is 830110120120101.

101021021011038 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×101021021011038³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101021021011039) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21952170 + ... + 26152242.

It is an arithmetic number, because the mean of its divisors is an integer number (12627633782961).

Almost surely, 2^{101021021011038} is an apocalyptic number.

101021021011038 is an abundant number, since it is smaller than the sum of its proper divisors (101021119516338).

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

101021021011038 is a wasteful number, since it uses less digits than its factorization.

101021021011038 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8208779.

The product of its (nonzero) digits is 96, while the sum is 21.

Adding to 101021021011038 its reverse (830110120120101), we get a palindrome (931131141131139).

The spelling of 101021021011038 in words is "one hundred one trillion, twenty-one billion, twenty-one million, eleven thousand, thirty-eight".