20101202101020 has 192 divisors, whose sum is σ = 60355792982016. Its totient is φ = 4985544453120.

The previous prime is 20101202100989. The next prime is 20101202101021. The reversal of 20101202101020 is 2010120210102.

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 = 20101202100987 and 20101202101005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20101202101021) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 81419565 + ... + 81666075.

It is an arithmetic number, because the mean of its divisors is an integer number (314353088448).

Almost surely, 2^{20101202101020} is an apocalyptic number.

20101202101020 is a gapful number since it is divisible by the number (20) 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 20101202101020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30177896491008).

20101202101020 is an abundant number, since it is smaller than the sum of its proper divisors (40254590880996).

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

20101202101020 is a wasteful number, since it uses less digits than its factorization.

20101202101020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248180 (or 248178 counting only the distinct ones).

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

Adding to 20101202101020 its reverse (2010120210102), we get a palindrome (22111322311122).

The spelling of 20101202101020 in words is "twenty trillion, one hundred one billion, two hundred two million, one hundred one thousand, twenty".