101021101020 has 96 divisors (see below), whose sum is σ = 359186150400. Its totient is φ = 23090536512.

The previous prime is 101021100979. The next prime is 101021101057. The reversal of 101021101020 is 20101120101.

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 = 101021100993 and 101021101011.

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, 13358800 + ... + 13366359.

It is an arithmetic number, because the mean of its divisors is an integer number (3741522400).

Almost surely, 2^101021101020 is an apocalyptic number.

101021101020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101021101020 is an abundant number, since it is smaller than the sum of its proper divisors (258165049380).

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

101021101020 is a wasteful number, since it uses less digits than its factorization.

101021101020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26725184 (or 26725176 counting only the distinct ones).

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

Adding to 101021101020 its reverse (20101120101), we get a palindrome (121122221121).

The spelling of 101021101020 in words is "one hundred one billion, twenty-one million, one hundred one thousand, twenty".