101000101020 has 384 divisors, whose sum is σ = 373028253696. Its totient is φ = 19831578624.

The previous prime is 101000101009. The next prime is 101000101031. The reversal of 101000101020 is 20101000101.

It is an interprime number because it is at equal distance from previous prime (101000101009) and next prime (101000101031).

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4635592 + ... + 4657328.

It is an arithmetic number, because the mean of its divisors is an integer number (971427744).

Almost surely, 2^101000101020 is an apocalyptic number.

101000101020 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 101000101020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186514126848).

101000101020 is an abundant number, since it is smaller than the sum of its proper divisors (272028152676).

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

101000101020 is a wasteful number, since it uses less digits than its factorization.

101000101020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21829 (or 21827 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 101000101020 its reverse (20101000101), we get a palindrome (121101101121).

The spelling of 101000101020 in words is "one hundred one billion, one hundred one thousand, twenty".