101020010110020 has 144 divisors (see below), whose sum is σ = 308152186392960. Its totient is φ = 26787049279488.

The previous prime is 101020010109983. The next prime is 101020010110039. The reversal of 101020010110020 is 20011010020101.

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 = 101020010109984 and 101020010110011.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1005954852 + ... + 1006055268.

It is an arithmetic number, because the mean of its divisors is an integer number (2139945738840).

Almost surely, 2^{101020010110020} is an apocalyptic number.

101020010110020 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 101020010110020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154076093196480).

101020010110020 is an abundant number, since it is smaller than the sum of its proper divisors (207132176282940).

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

101020010110020 is a wasteful number, since it uses less digits than its factorization.

101020010110020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131834 (or 131829 counting only the distinct ones).

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

Adding to 101020010110020 its reverse (20011010020101), we get a palindrome (121031020130121).

The spelling of 101020010110020 in words is "one hundred one trillion, twenty billion, ten million, one hundred ten thousand, twenty".