101020430401044 has 288 divisors, whose sum is σ = 315955470200832. Its totient is φ = 24802122240000.

The previous prime is 101020430401027. The next prime is 101020430401049. The reversal of 101020430401044 is 440104034020101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101020430401049) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2763444 + ... + 14480244.

It is an arithmetic number, because the mean of its divisors is an integer number (1097067604864).

Almost surely, 2^{101020430401044} is an apocalyptic number.

101020430401044 is a gapful number since it is divisible by the number (14) 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 101020430401044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157977735100416).

101020430401044 is an abundant number, since it is smaller than the sum of its proper divisors (214935039799788).

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

101020430401044 is a wasteful number, since it uses less digits than its factorization.

101020430401044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11716907 (or 11716898 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 101020430401044 its reverse (440104034020101), we get a palindrome (541124464421145).

The spelling of 101020430401044 in words is "one hundred one trillion, twenty billion, four hundred thirty million, four hundred one thousand, forty-four".