101001102001020 has 288 divisors, whose sum is σ = 342614119446144. Its totient is φ = 23923156377600.

The previous prime is 101001102000919. The next prime is 101001102001073. The reversal of 101001102001020 is 20100201100101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 101001102000993 and 101001102001011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 207016 + ... + 14214255.

It is an arithmetic number, because the mean of its divisors is an integer number (1189632359188).

Almost surely, 2^{101001102001020} is an apocalyptic number.

101001102001020 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 101001102001020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171307059723072).

101001102001020 is an abundant number, since it is smaller than the sum of its proper divisors (241613017445124).

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

101001102001020 is a wasteful number, since it uses less digits than its factorization.

101001102001020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14421413 (or 14421408 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 101001102001020 its reverse (20100201100101), we get a palindrome (121101303101121).

The spelling of 101001102001020 in words is "one hundred one trillion, one billion, one hundred two million, one thousand, twenty".