101012011201020 has 96 divisors (see below), whose sum is σ = 285629062537728. Its totient is φ = 26670573083392.

The previous prime is 101012011201001. The next prime is 101012011201061. The reversal of 101012011201020 is 20102110210101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 101012011200987 and 101012011201005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7859089 + ... + 16241591.

It is an arithmetic number, because the mean of its divisors is an integer number (2975302734768).

Almost surely, 2^{101012011201020} is an apocalyptic number.

101012011201020 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 101012011201020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142814531268864).

101012011201020 is an abundant number, since it is smaller than the sum of its proper divisors (184617051336708).

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

101012011201020 is a wasteful number, since it uses less digits than its factorization.

101012011201020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8384499 (or 8384497 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 101012011201020 its reverse (20102110210101), we get a palindrome (121114121411121).

The spelling of 101012011201020 in words is "one hundred one trillion, twelve billion, eleven million, two hundred one thousand, twenty".