| Base | Representation |
|---|---|
| bin | 101101111100111101001111… |
| … | …100000110000010110100000 |
| 3 | 222111120200001120121200220200 |
| 4 | 231330331033200300112200 |
| 5 | 202442210342121200000 |
| 6 | 1553455532113505200 |
| 7 | 60366213452435550 |
| oct | 5574751740602640 |
| 9 | 874520046550820 |
| 10 | 202101020100000 |
| 11 | 5943961a0a148a |
| 12 | 1a800646872200 |
| 13 | 88a0076789948 |
| 14 | 37c9a54bd5160 |
| 15 | 18571a0b08500 |
| hex | b7cf4f8305a0 |
202101020100000 has 1728 divisors, whose sum is σ = 872055106401024. Its totient is φ = 43338240000000.
The previous prime is 202101020099977. The next prime is 202101020100029. The reversal of 202101020100000 is 1020101202.
202101020100000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a super-3 number, since 3×2021010201000003 (a number of 44 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (9).
It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.
It is an unprimeable number.
It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 35450097150 + ... + 35450102850.
It is an arithmetic number, because the mean of its divisors is an integer number (504661519908).
Almost surely, 2202101020100000 is an apocalyptic number.
202101020100000 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 202101020100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436027553200512).
202101020100000 is an abundant number, since it is smaller than the sum of its proper divisors (669954086301024).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
202101020100000 is a wasteful number, since it uses less digits than its factorization.
202101020100000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 6097 (or 6066 counting only the distinct ones).
The product of its (nonzero) digits is 8, while the sum is 9.
Adding to 202101020100000 its reverse (1020101202), we get a palindrome (202102040201202).
The spelling of 202101020100000 in words is "two hundred two trillion, one hundred one billion, twenty million, one hundred thousand".
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