101021002102020 has 384 divisors, whose sum is σ = 381078704885760. Its totient is φ = 19310520453120.

The previous prime is 101021002101989. The next prime is 101021002102037. The reversal of 101021002102020 is 20201200120101.

101021002102020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 = 101021002101987 and 101021002102005.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14727271 + ... + 20467889.

It is an arithmetic number, because the mean of its divisors is an integer number (992392460640).

Almost surely, 2^{101021002102020} is an apocalyptic number.

101021002102020 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 101021002102020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190539352442880).

101021002102020 is an abundant number, since it is smaller than the sum of its proper divisors (280057702783740).

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

101021002102020 is a wasteful number, since it uses less digits than its factorization.

101021002102020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5740955 (or 5740953 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 101021002102020 its reverse (20201200120101), we get a palindrome (121222202222121).

The spelling of 101021002102020 in words is "one hundred one trillion, twenty-one billion, two million, one hundred two thousand, twenty".