| Base | Representation |
|---|---|
| bin | 101101111100111101001110… |
| … | …010111111100001100110100 |
| 3 | 222111120200000020200221010110 |
| 4 | 231330331032113330030310 |
| 5 | 202442210322224341040 |
| 6 | 1553455530152423020 |
| 7 | 60366213131255505 |
| oct | 5574751627741464 |
| 9 | 874520006627113 |
| 10 | 202101001012020 |
| 11 | 5943960a3443a0 |
| 12 | 1a8006403a7a70 |
| 13 | 88a0072835696 |
| 14 | 37c9a52466bac |
| 15 | 185719e0d7980 |
| hex | b7cf4e5fc334 |
202101001012020 has 576 divisors, whose sum is σ = 650914626281472. Its totient is φ = 46413058560000.
The previous prime is 202101001011961. The next prime is 202101001012049. The reversal of 202101001012020 is 20210100101202.
It is a super-3 number, since 3×2021010010120203 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
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 = 202101001011987 and 202101001012005.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (29) of ones.
It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 16368423487 + ... + 16368435833.
It is an arithmetic number, because the mean of its divisors is an integer number (1130060115072).
Almost surely, 2202101001012020 is an apocalyptic number.
202101001012020 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 202101001012020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325457313140736).
202101001012020 is an abundant number, since it is smaller than the sum of its proper divisors (448813625269452).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
202101001012020 is a wasteful number, since it uses less digits than its factorization.
202101001012020 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 12680 (or 12589 counting only the distinct ones).
The product of its (nonzero) digits is 16, while the sum is 12.
Adding to 202101001012020 its reverse (20210100101202), we get a palindrome (222311101113222).
The spelling of 202101001012020 in words is "two hundred two trillion, one hundred one billion, one million, twelve thousand, twenty".
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