101101020001020 has 288 divisors, whose sum is σ = 341401924059840. Its totient is φ = 24827282887680.

The previous prime is 101101020000997. The next prime is 101101020001027. The reversal of 101101020001020 is 20100020101101.

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 = 101101020000993 and 101101020001011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101101020001027) 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, 37104742 + ... + 39736178.

It is an arithmetic number, because the mean of its divisors is an integer number (1185423347430).

Almost surely, 2^{101101020001020} is an apocalyptic number.

101101020001020 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 101101020001020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170700962029920).

101101020001020 is an abundant number, since it is smaller than the sum of its proper divisors (240300904058820).

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

101101020001020 is a wasteful number, since it uses less digits than its factorization.

101101020001020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2631902 (or 2631881 counting only the distinct ones).

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

Adding to 101101020001020 its reverse (20100020101101), we get a palindrome (121201040102121).

The spelling of 101101020001020 in words is "one hundred one trillion, one hundred one billion, twenty million, one thousand, twenty".